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145600161504 = 2537277782191
BaseRepresentation
bin1000011110011001110…
…0100010011011100000
3111220211010101120010020
42013212130202123200
54341142120132004
6150515432433440
713343051644530
oct2074634423340
9456733346106
10145600161504
115682654a396
1224275248880
1310964b74b25
1470932b94c0
153bc26c88d9
hex21e67226e0

145600161504 has 96 divisors (see below), whose sum is σ = 438377942016. Its totient is φ = 41449812480.

The previous prime is 145600161439. The next prime is 145600161523. The reversal of 145600161504 is 405161006541.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204952 + ... + 577239.

It is an arithmetic number, because the mean of its divisors is an integer number (4566436896).

Almost surely, 2145600161504 is an apocalyptic number.

145600161504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145600161504 is an abundant number, since it is smaller than the sum of its proper divisors (292777780512).

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

145600161504 is a wasteful number, since it uses less digits than its factorization.

145600161504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782488 (or 782480 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 145600161504 in words is "one hundred forty-five billion, six hundred million, one hundred sixty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 277 336 554 672 831 1108 1662 1939 2216 3324 3878 4432 5817 6648 7756 8864 11634 13296 15512 23268 26592 31024 46536 62048 93072 186144 782191 1564382 2346573 3128764 4693146 5475337 6257528 9386292 10950674 12515056 16426011 18772584 21901348 25030112 32852022 37545168 43802696 65704044 75090336 87605392 131408088 175210784 216666907 262816176 433333814 525632352 650000721 866667628 1300001442 1516668349 1733335256 2600002884 3033336698 3466670512 4550005047 5200005768 6066673396 6933341024 9100010094 10400011536 12133346792 18200020188 20800023072 24266693584 36400040376 48533387168 72800080752 145600161504