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157980886272 = 2835111929419
BaseRepresentation
bin1001001100100001100…
…1010000010100000000
3120002202221220112200000
42103020121100110000
510042021101330042
6200324142400000
714261625243156
oct2231031202400
9502687815600
10157980886272
1160aaa101130
122674b590000
1311b88b5c681
1479096c13d6
1541995a174c
hex24c8650500

157980886272 has 864 divisors, whose sum is σ = 562476096000. Its totient is φ = 43684945920.

The previous prime is 157980886247. The next prime is 157980886279. The reversal of 157980886272 is 272688089751.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157980886279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 377042479 + ... + 377042897.

It is an arithmetic number, because the mean of its divisors is an integer number (651014000).

Almost surely, 2157980886272 is an apocalyptic number.

157980886272 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 157980886272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281238048000).

157980886272 is an abundant number, since it is smaller than the sum of its proper divisors (404495209728).

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

157980886272 is a wasteful number, since it uses less digits than its factorization.

157980886272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 157980886272 in words is "one hundred fifty-seven billion, nine hundred eighty million, eight hundred eighty-six thousand, two hundred seventy-two".