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9740484952 = 2311313799421
BaseRepresentation
bin10010001001001010…
…00000000101011000
3221010211102220101221
421010211000011120
5124422031004302
64250312221424
7463243520212
oct110445000530
927124386357
109740484952
114149282570
121a7a09a874
13bc2cc5b83
146858cb5b2
153c01e9937
hex244940158

9740484952 has 64 divisors (see below), whose sum is σ = 20622873600. Its totient is φ = 4272912000.

The previous prime is 9740484931. The next prime is 9740484989. The reversal of 9740484952 is 2594840479.

It is a self number, because there is not a number n which added to its sum of digits gives 9740484952.

It is a congruent number.

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, 1029202 + ... + 1038622.

It is an arithmetic number, because the mean of its divisors is an integer number (322232400).

Almost surely, 29740484952 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 9740484952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311436800).

9740484952 is an abundant number, since it is smaller than the sum of its proper divisors (10882388648).

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

9740484952 is a wasteful number, since it uses less digits than its factorization.

9740484952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9848 (or 9844 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The square root of 9740484952 is about 98693.8952114061. The cubic root of 9740484952 is about 2135.6341650442.

The spelling of 9740484952 in words is "nine billion, seven hundred forty million, four hundred eighty-four thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 379 682 758 1364 1516 2728 3032 4169 8338 9421 11749 16676 18842 23498 33352 37684 46996 75368 93992 103631 129239 207262 258478 292051 414524 516956 584102 829048 1033912 1168204 2336408 3212561 3570559 6425122 7141118 12850244 14282236 25700488 28564472 39276149 78552298 110687329 157104596 221374658 314209192 442749316 885498632 1217560619 2435121238 4870242476 9740484952