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9697705056 = 2532137513449
BaseRepresentation
bin10010000100000011…
…10011110001100000
3221000211221110102100
421002001303301200
5124330103030211
64242143250400
7462214063404
oct110201636140
927024843370
109697705056
114127113386
121a678a9a00
13bb7197c20
1467dd53104
153bb599156
hex242073c60

9697705056 has 144 divisors (see below), whose sum is σ = 29747390400. Its totient is φ = 2979072000.

The previous prime is 9697705033. The next prime is 9697705057. The reversal of 9697705056 is 6505077969.

9697705056 is a `hidden beast` number, since 9 + 69 + 7 + 70 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 9697704993 and 9697705011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9697705057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2810020 + ... + 2813468.

It is an arithmetic number, because the mean of its divisors is an integer number (206579100).

Almost surely, 29697705056 is an apocalyptic number.

9697705056 is a gapful number since it is divisible by the number (96) 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 9697705056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873695200).

9697705056 is an abundant number, since it is smaller than the sum of its proper divisors (20049685344).

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

9697705056 is a wasteful number, since it uses less digits than its factorization.

9697705056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4229 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The square root of 9697705056 is about 98476.9265158088. The cubic root of 9697705056 is about 2132.5030311383.

The spelling of 9697705056 in words is "nine billion, six hundred ninety-seven million, seven hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 751 936 1248 1502 1872 2253 3004 3449 3744 4506 6008 6759 6898 9012 9763 10347 12016 13518 13796 18024 19526 20694 24032 27036 27592 29289 31041 36048 39052 41388 44837 54072 55184 58578 62082 72096 78104 82776 87867 89674 108144 110368 117156 124164 134511 156208 165552 175734 179348 216288 234312 248328 269022 312416 331104 351468 358696 403533 468624 496656 538044 702936 717392 807066 937248 993312 1076088 1405872 1434784 1614132 2152176 2590199 2811744 3228264 4304352 5180398 6456528 7770597 10360796 12913056 15541194 20721592 23311791 31082388 33672587 41443184 46623582 62164776 67345174 82886368 93247164 101017761 124329552 134690348 186494328 202035522 248659104 269380696 303053283 372988656 404071044 538761392 606106566 745977312 808142088 1077522784 1212213132 1616284176 2424426264 3232568352 4848852528 9697705056