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153799989792 = 25359214312671
BaseRepresentation
bin1000111100111100110…
…0011001101000100000
3112200222120210222220020
42033033030121220200
510004440244133132
6154353231313440
714053210225461
oct2171714315040
9480876728806
10153799989792
115a2540a2789
122598337b880
1311670912027
14763031cd68
1540024e752c
hex23cf319a20

153799989792 has 96 divisors (see below), whose sum is σ = 410791772160. Its totient is φ = 50370243840.

The previous prime is 153799989779. The next prime is 153799989803. The reversal of 153799989792 is 297989997351.

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

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, 12131617 + ... + 12144287.

It is an arithmetic number, because the mean of its divisors is an integer number (4279080960).

Almost surely, 2153799989792 is an apocalyptic number.

153799989792 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 153799989792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205395886080).

153799989792 is an abundant number, since it is smaller than the sum of its proper divisors (256991782368).

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

153799989792 is a wasteful number, since it uses less digits than its factorization.

153799989792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14886 (or 14878 counting only the distinct ones).

The product of its digits is 694416240, while the sum is 78.

The spelling of 153799989792 in words is "one hundred fifty-three billion, seven hundred ninety-nine million, nine hundred eighty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2143 2832 4286 5664 6429 8572 12671 12858 17144 25342 25716 34288 38013 50684 51432 68576 76026 101368 102864 126437 152052 202736 205728 252874 304104 379311 405472 505748 608208 747589 758622 1011496 1216416 1495178 1517244 2022992 2242767 2990356 3034488 4045984 4485534 5980712 6068976 8971068 11961424 12137952 17942136 23922848 27153953 35884272 54307906 71768544 81461859 108615812 162923718 217231624 325847436 434463248 651694872 868926496 1303389744 1602083227 2606779488 3204166454 4806249681 6408332908 9612499362 12816665816 19224998724 25633331632 38449997448 51266663264 76899994896 153799989792