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9999100512 = 253319609107
BaseRepresentation
bin10010100111111111…
…00010101001100000
3221210212001221021000
421103333202221200
5130434232204022
64332111232000
7502533644352
oct112377425140
927725057230
109999100512
114271260235
121b30818600
13c34763c2b
146abdab0d2
153d7c816ac
hex253fe2a60

9999100512 has 96 divisors (see below), whose sum is σ = 30699043200. Its totient is φ = 3157605504.

The previous prime is 9999100453. The next prime is 9999100543. The reversal of 9999100512 is 2150019999.

9999100512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×99991005122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 288138 + ... + 320969.

It is an arithmetic number, because the mean of its divisors is an integer number (319781700).

Almost surely, 29999100512 is an apocalyptic number.

It is an amenable number.

9999100512 is an abundant number, since it is smaller than the sum of its proper divisors (20699942688).

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

9999100512 is a wasteful number, since it uses less digits than its factorization.

9999100512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609145 (or 609131 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 45.

The square root of 9999100512 is about 99995.5024588606. The cubic root of 9999100512 is about 2154.3700918233.

It can be divided in two parts, 999 and 9100512, that added together give a triangular number (9101511 = T4266).

The spelling of 9999100512 in words is "nine billion, nine hundred ninety-nine million, one hundred thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 609107 1218214 1827321 2436428 3654642 4872856 5481963 7309284 9745712 10963926 11573033 14618568 16445889 19491424 21927852 23146066 29237136 32891778 34719099 43855704 46292132 58474272 65783556 69438198 87711408 92584264 104157297 131567112 138876396 175422816 185168528 208314594 263134224 277752792 312471891 370337056 416629188 526268448 555505584 624943782 833258376 1111011168 1249887564 1666516752 2499775128 3333033504 4999550256 9999100512