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9991755904 = 271321393323
BaseRepresentation
bin10010100111000111…
…00001100010000000
3221210100020210100111
421103203201202000
5130430342142104
64331250001104
7502414344454
oct112343414200
927710223314
109991755904
1142680a4109
121b2a276194
13c33091c00
146ab018664
153d72d0404
hex2538e1880

9991755904 has 96 divisors (see below), whose sum is σ = 21716024400. Its totient is φ = 4577025024.

The previous prime is 9991755901. The next prime is 9991755911. The reversal of 9991755904 is 4095571999.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9991755901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3005187 + ... + 3008509.

Almost surely, 29991755904 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 9991755904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10858012200).

9991755904 is an abundant number, since it is smaller than the sum of its proper divisors (11724268496).

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

9991755904 is a wasteful number, since it uses less digits than its factorization.

9991755904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 58.

The square root of 9991755904 is about 99958.7710208564. The cubic root of 9991755904 is about 2153.8424817143.

The spelling of 9991755904 in words is "nine billion, nine hundred ninety-one million, seven hundred fifty-five thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 139 169 208 278 338 416 556 676 832 1112 1352 1664 1807 2224 2704 3323 3614 4448 5408 6646 7228 8896 10816 13292 14456 17792 21632 23491 26584 28912 43199 46982 53168 57824 86398 93964 106336 115648 172796 187928 212672 231296 345592 375856 425344 461897 561587 691184 751712 923794 1123174 1382368 1503424 1847588 2246348 2764736 3006848 3695176 4492696 5529472 6004661 7390352 8985392 12009322 14780704 17970784 24018644 29561408 35941568 48037288 59122816 71883136 78060593 96074576 156121186 192149152 312242372 384298304 624484744 768596608 1248969488 2497938976 4995877952 9991755904