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1357307016192 = 21032359410243
BaseRepresentation
bin10011110000000101110…
…011010111010000000000
311210202110001121111200100
4103300011303113100000
5134214231044004232
62515312131522400
7200030222164341
oct23600563272000
94722401544610
101357307016192
114836a34756a6
1219b07b459400
139acbb95658a
14499a05140c8
152549002bc7c
hex13c05cd7400

1357307016192 has 132 divisors (see below), whose sum is σ = 3930121110240. Its totient is φ = 451174305792.

The previous prime is 1357307016173. The next prime is 1357307016253. The reversal of 1357307016192 is 2916107037531.

1357307016192 is a `hidden beast` number, since 1 + 3 + 573 + 0 + 70 + 1 + 6 + 1 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3103423 + ... + 3513665.

Almost surely, 21357307016192 is an apocalyptic number.

1357307016192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1357307016192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965060555120).

1357307016192 is an abundant number, since it is smaller than the sum of its proper divisors (2572814094048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1357307016192 is a wasteful number, since it uses less digits than its factorization.

1357307016192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410628 (or 410607 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 1357307016192 in words is "one trillion, three hundred fifty-seven billion, three hundred seven million, sixteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 359 384 512 576 718 768 1024 1077 1152 1436 1536 2154 2304 2872 3072 3231 4308 4608 5744 6462 8616 9216 11488 12924 17232 22976 25848 34464 45952 51696 68928 91904 103392 137856 183808 206784 275712 367616 410243 413568 551424 820486 827136 1102848 1230729 1640972 1654272 2461458 3281944 3308544 3692187 4922916 6563888 7384374 9845832 13127776 14768748 19691664 26255552 29537496 39383328 52511104 59074992 78766656 105022208 118149984 147277237 157533312 210044416 236299968 294554474 315066624 420088832 441831711 472599936 589108948 630133248 883663422 945199872 1178217896 1260266496 1325495133 1767326844 1890399744 2356435792 2650990266 3534653688 3780799488 4712871584 5301980532 7069307376 9425743168 10603961064 14138614752 18851486336 21207922128 28277229504 37702972672 42415844256 56554459008 75405945344 84831688512 113108918016 150811890688 169663377024 226217836032 339326754048 452435672064 678653508096 1357307016192