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96630540288 = 211337425071
BaseRepresentation
bin101100111111110100…
…0010000100000000000
3100020102100102001110120
41121333220100200000
53040344404242123
6112220315500240
76660411016542
oct1317750204000
9306370361416
1096630540288
1137a8746a157
1216889457680
13915c71a7b9
144969763692
1527a85162e3
hex167fa10800

96630540288 has 96 divisors (see below), whose sum is σ = 264581815680. Its totient is φ = 31339560960.

The previous prime is 96630540287. The next prime is 96630540299. The reversal of 96630540288 is 88204503669.

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

It is a super-2 number, since 2×966305402882 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96630540288.

It is not an unprimeable number, because it can be changed into a prime (96630540287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14793 + ... + 439863.

It is an arithmetic number, because the mean of its divisors is an integer number (2756060580).

Almost surely, 296630540288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96630540288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132290907840).

96630540288 is an abundant number, since it is smaller than the sum of its proper divisors (167951275392).

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

96630540288 is a wasteful number, since it uses less digits than its factorization.

96630540288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425133 (or 425113 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 96630540288 in words is "ninety-six billion, six hundred thirty million, five hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1024 1184 1536 1776 2048 2368 3072 3552 4736 6144 7104 9472 14208 18944 28416 37888 56832 75776 113664 227328 425071 850142 1275213 1700284 2550426 3400568 5100852 6801136 10201704 13602272 15727627 20403408 27204544 31455254 40806816 47182881 54409088 62910508 81613632 94365762 108818176 125821016 163227264 188731524 217636352 251642032 326454528 377463048 435272704 503284064 652909056 754926096 870545408 1006568128 1305818112 1509852192 2013136256 2611636224 3019704384 4026272512 6039408768 8052545024 12078817536 16105090048 24157635072 32210180096 48315270144 96630540288