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13029745536 = 2735418909
BaseRepresentation
bin11000010001010001…
…00010001110000000
31020122001202122200000
430020220202032000
5203141103324121
65552532400000
7640614003213
oct141050421600
936561678600
1013029745536
115586a51745
122637776000
1312c85b7c02
148b86ad77a
15513d7a526
hex308a22380

13029745536 has 96 divisors (see below), whose sum is σ = 38883226200. Its totient is φ = 4343238144.

The previous prime is 13029745483. The next prime is 13029745609. The reversal of 13029745536 is 63554792031.

13029745536 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 97 + 4 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 13029745491 and 13029745500.

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, 178351 + ... + 240558.

Almost surely, 213029745536 is an apocalyptic number.

13029745536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13029745536 is an abundant number, since it is smaller than the sum of its proper divisors (25853480664).

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

13029745536 is an frugal number, since it uses more digits than its factorization.

13029745536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418938 (or 418914 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 13029745536 in words is "thirteen billion, twenty-nine million, seven hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 418909 837818 1256727 1675636 2513454 3351272 3770181 5026908 6702544 7540362 10053816 11310543 13405088 15080724 20107632 22621086 26810176 30161448 33931629 40215264 45242172 53620352 60322896 67863258 80430528 90484344 101794887 120645792 135726516 160861056 180968688 203589774 241291584 271453032 361937376 407179548 482583168 542906064 723874752 814359096 1085812128 1447749504 1628718192 2171624256 3257436384 4343248512 6514872768 13029745536