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96486417456 = 243111314056879
BaseRepresentation
bin101100111011100001…
…0011110010000110000
3100020001022012212002220
41121313002132100300
53040101010324311
6112154130441040
76654011005422
oct1316702362060
9306038185086
1096486417456
1137a13081580
1216849133180
1391388c8a10
144954568812
15279aa48206
hex167709e430

96486417456 has 80 divisors (see below), whose sum is σ = 292832924160. Its totient is φ = 26989205760.

The previous prime is 96486417437. The next prime is 96486417487. The reversal of 96486417456 is 65471468469.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 96486417456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7021576 + ... + 7035303.

It is an arithmetic number, because the mean of its divisors is an integer number (3660411552).

Almost surely, 296486417456 is an apocalyptic number.

It is an amenable number.

96486417456 is an abundant number, since it is smaller than the sum of its proper divisors (196346506704).

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

96486417456 is a wasteful number, since it uses less digits than its factorization.

96486417456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14056914 (or 14056908 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 60.

The spelling of 96486417456 in words is "ninety-six billion, four hundred eighty-six million, four hundred seventeen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 14056879 28113758 42170637 56227516 84341274 112455032 154625669 168682548 182739427 224910064 309251338 337365096 365478854 463877007 548218281 618502676 674730192 730957708 927754014 1096436562 1237005352 1461915416 1855508028 2010133697 2192873124 2474010704 2923830832 3711016056 4020267394 4385746248 6030401091 7422032112 8040534788 8771492496 12060802182 16081069576 24121604364 32162139152 48243208728 96486417456