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96661297216 = 2611235332
BaseRepresentation
bin101101000000101110…
…1100101100001000000
3100020111111021200001001
41122001131211201000
53040430243002331
6112223335021344
76661233320101
oct1320135454100
9306444250031
1096661297216
1137aa2867300
121689780a854
139165bc9173
14496d88c3a8
1527ab08e561
hex1681765840

96661297216 has 63 divisors (see below), whose sum is σ = 210894658093. Its totient is φ = 43924517120.

The previous prime is 96661297193. The next prime is 96661297223. The reversal of 96661297216 is 61279216669.

It is a happy number.

The square root of 96661297216 is 310904.

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

It can be written as a sum of positive squares in only one way, i.e., 79050945600 + 17610351616 = 281160^2 + 132704^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27357786 + ... + 27361318.

Almost surely, 296661297216 is an apocalyptic number.

96661297216 is the 310904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96661297216

96661297216 is an abundant number, since it is smaller than the sum of its proper divisors (114233360877).

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

96661297216 is an frugal number, since it uses more digits than its factorization.

96661297216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7100 (or 3546 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 55.

The spelling of 96661297216 in words is "ninety-six billion, six hundred sixty-one million, two hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3533 3872 7066 7744 14132 28264 38863 56528 77726 113056 155452 226112 310904 427493 621808 854986 1243616 1709972 2487232 3419944 6839888 12482089 13679776 24964178 27359552 49928356 99856712 137302979 199713424 274605958 399426848 549211916 798853696 1098423832 1510332769 2196847664 3020665538 4393695328 6041331076 8787390656 12082662152 24165324304 48330648608 96661297216