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97012590624 = 25371386211
BaseRepresentation
bin101101001011001100…
…1101010100000100000
3100021101222022020000000
41122112121222200200
53042140210344444
6112322244300000
710003030262115
oct1322631524040
9307358266000
1097012590624
1138163095234
12169753a1600
1391c0915ca1
1449a43b490c
1527cbd31469
hex169666a820

97012590624 has 96 divisors (see below), whose sum is σ = 286446847680. Its totient is φ = 32337506880.

The previous prime is 97012590593. The next prime is 97012590671. The reversal of 97012590624 is 42609521079.

97012590624 is a `hidden beast` number, since 9 + 7 + 0 + 12 + 5 + 9 + 0 + 624 = 666.

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

It is a super-2 number, since 2×970125906242 (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 97012590624.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623122 + ... + 763089.

It is an arithmetic number, because the mean of its divisors is an integer number (2983821330).

Almost surely, 297012590624 is an apocalyptic number.

It is an amenable number.

97012590624 is an abundant number, since it is smaller than the sum of its proper divisors (189434257056).

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

97012590624 is an equidigital number, since it uses as much as digits as its factorization.

97012590624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386242 (or 1386216 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 97012590624 in words is "ninety-seven billion, twelve million, five hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 7776 8748 11664 17496 23328 34992 69984 1386211 2772422 4158633 5544844 8317266 11089688 12475899 16634532 22179376 24951798 33269064 37427697 44358752 49903596 66538128 74855394 99807192 112283091 133076256 149710788 199614384 224566182 299421576 336849273 399228768 449132364 598843152 673698546 898264728 1010547819 1197686304 1347397092 1796529456 2021095638 2694794184 3031643457 3593058912 4042191276 5389588368 6063286914 8084382552 10779176736 12126573828 16168765104 24253147656 32337530208 48506295312 97012590624