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96975735012 = 2232131434114449
BaseRepresentation
bin101101001010000110…
…1000100100011100100
3100021022101221202121100
41122110031010203210
53042101242010022
6112314450320100
710002102101262
oct1322415044344
9307271852540
1096975735012
1138144302052
1216964b89030
1391b60b0730
14499d53d432
1527c89a11ac
hex16943448e4

96975735012 has 72 divisors (see below), whose sum is σ = 264026180600. Its totient is φ = 29834542080.

The previous prime is 96975735001. The next prime is 96975735047. The reversal of 96975735012 is 21053757969.

96975735012 is a `hidden beast` number, since 9 + 6 + 9 + 7 + 573 + 50 + 12 = 666.

96975735012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3984891876 + 92990843136 = 63126^2 + 304944^2 .

It is a super-2 number, since 2×969757350122 (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 96975735012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6704364 + ... + 6718812.

Almost surely, 296975735012 is an apocalyptic number.

It is an amenable number.

96975735012 is an abundant number, since it is smaller than the sum of its proper divisors (167050445588).

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

96975735012 is a wasteful number, since it uses less digits than its factorization.

96975735012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28813 (or 28808 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 96975735012 in words is "ninety-six billion, nine hundred seventy-five million, seven hundred thirty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 14341 14449 28682 28898 43023 43347 57364 57796 86046 86694 129069 130041 172092 173388 186433 187837 258138 260082 372866 375674 516276 520164 559299 563511 745732 751348 1118598 1127022 1677897 1690533 2237196 2254044 3355794 3381066 6711588 6762132 207213109 414426218 621639327 828852436 1243278654 1864917981 2486557308 2693770417 3729835962 5387540834 7459671924 8081311251 10775081668 16162622502 24243933753 32325245004 48487867506 96975735012