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15977320042896 = 24323330972
BaseRepresentation
bin1110100010000000001001…
…1111000101000110010000
32002120102020220102121110100
43220200002133011012100
54043233022412333041
653551513545532400
73236215612403532
oct350400237050620
962512226377410
1015977320042896
1150aaa416aaa73
1219606181a4100
138bb868823a54
143d3440b3d852
151ca917c386b6
hexe88027c5190

15977320042896 has 45 divisors (see below), whose sum is σ = 44714439636321. Its totient is φ = 5325757358976.

The previous prime is 15977320042891. The next prime is 15977320042913. The reversal of 15977320042896 is 69824002377951.

The square root of 15977320042896 is 3997164.

It is a perfect power (a square), and thus also a powerful number.

15977320042896 is a `hidden beast` number, since 1 + 5 + 97 + 7 + 32 + 0 + 0 + 428 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14652205952400 + 1325114090496 = 3827820^2 + 1151136^2 .

It is not an unprimeable number, because it can be changed into a prime (15977320042891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47799420 + ... + 48132516.

It is a 2-persistent number, because it is pandigital, and so is 2⋅15977320042896 = 31954640085792, but 3⋅15977320042896 = 47931960128688 is not.

Almost surely, 215977320042896 is an apocalyptic number.

15977320042896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

15977320042896 is the 3997164-th square number.

It is an amenable number.

15977320042896 is an abundant number, since it is smaller than the sum of its proper divisors (28737119593425).

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

15977320042896 is an frugal number, since it uses more digits than its factorization.

15977320042896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666208 (or 333102 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 15977320042896 in words is "fifteen trillion, nine hundred seventy-seven billion, three hundred twenty million, forty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 333097 666194 999291 1332388 1998582 2664776 2997873 3997164 5329552 5995746 7994328 11991492 15988656 23982984 47965968 110953611409 221907222818 332860834227 443814445636 665721668454 887628891272 998582502681 1331443336908 1775257782544 1997165005362 2662886673816 3994330010724 5325773347632 7988660021448 15977320042896