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88454125696 = 272373411583
BaseRepresentation
bin101001001100001000…
…1101101100010000000
322110022112001011020111
41102120101231202000
52422123224010241
6104345114521104
76250655443246
oct1223021554200
9273275034214
1088454125696
1134571058922
1215187136194
13845878a761
1443d1896796
15247a7bec81
hex149846d880

88454125696 has 64 divisors (see below), whose sum is σ = 186398161920. Its totient is φ = 41724536832.

The previous prime is 88454125663. The next prime is 88454125759. The reversal of 88454125696 is 69652145488.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 88454125696.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9121 + ... + 420703.

It is an arithmetic number, because the mean of its divisors is an integer number (2912471280).

Almost surely, 288454125696 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 88454125696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93199080960).

88454125696 is an abundant number, since it is smaller than the sum of its proper divisors (97944036224).

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

88454125696 is a wasteful number, since it uses less digits than its factorization.

88454125696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411693 (or 411681 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 58.

The spelling of 88454125696 in words is "eighty-eight billion, four hundred fifty-four million, one hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 64 73 92 128 146 184 292 368 584 736 1168 1472 1679 2336 2944 3358 4672 6716 9344 13432 26864 53728 107456 214912 411583 823166 1646332 3292664 6585328 9466409 13170656 18932818 26341312 30045559 37865636 52682624 60091118 75731272 120182236 151462544 240364472 302925088 480728944 605850176 691047857 961457888 1211700352 1382095714 1922915776 2764191428 3845831552 5528382856 11056765712 22113531424 44227062848 88454125696