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10496286216 = 23321329386689
BaseRepresentation
bin10011100011010000…
…01001111000001000
31000002111121120211100
421301220021320020
5132444022124331
64453311501400
7521051650353
oct116150117010
930074546740
1010496286216
1144a6975209
12204b227860
13cb3772060
1471802d29a
15416740ae6
hex271a09e08

10496286216 has 96 divisors (see below), whose sum is σ = 31669911000. Its totient is φ = 3118252032.

The previous prime is 10496286131. The next prime is 10496286253. The reversal of 10496286216 is 61268269401.

10496286216 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 628 + 6 + 2 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9383796900 + 1112489316 = 96870^2 + 33354^2 .

It is a super-2 number, since 2×104962862162 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166201 + ... + 220488.

Almost surely, 210496286216 is an apocalyptic number.

It is an amenable number.

10496286216 is an abundant number, since it is smaller than the sum of its proper divisors (21173624784).

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

10496286216 is a wasteful number, since it uses less digits than its factorization.

10496286216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386743 (or 386736 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10496286216 in words is "ten billion, four hundred ninety-six million, two hundred eighty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 29 36 39 52 58 72 78 87 104 116 117 156 174 232 234 261 312 348 377 468 522 696 754 936 1044 1131 1508 2088 2262 3016 3393 4524 6786 9048 13572 27144 386689 773378 1160067 1546756 2320134 3093512 3480201 4640268 5026957 6960402 9280536 10053914 11213981 13920804 15080871 20107828 22427962 27841608 30161742 33641943 40215656 44855924 45242613 60323484 67283886 89711848 90485226 100925829 120646968 134567772 145781753 180970452 201851658 269135544 291563506 361940904 403703316 437345259 583127012 807406632 874690518 1166254024 1312035777 1749381036 2624071554 3498762072 5248143108 10496286216