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10012783424 = 267151148013
BaseRepresentation
bin10010101001100111…
…01111001101000000
3221211210211002200112
421110303233031000
5131001233032144
64333320410452
7503061153260
oct112463571500
927753732615
1010012783424
114278a56426
121b35316a28
13c37544c27
146adb2d7a0
153d908599e
hex254cef340

10012783424 has 56 divisors (see below), whose sum is σ = 22858098048. Its totient is φ = 4262745600.

The previous prime is 10012783411. The next prime is 10012783463. The reversal of 10012783424 is 42438721001.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6359 + ... + 141654.

Almost surely, 210012783424 is an apocalyptic number.

10012783424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012783424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11429049024).

10012783424 is an abundant number, since it is smaller than the sum of its proper divisors (12845314624).

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

10012783424 is a wasteful number, since it uses less digits than its factorization.

10012783424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148183 (or 148173 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 10012783424 in words is "ten billion, twelve million, seven hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 151 224 302 448 604 1057 1208 2114 2416 4228 4832 8456 9664 16912 33824 67648 148013 296026 592052 1036091 1184104 2072182 2368208 4144364 4736416 8288728 9472832 16577456 22349963 33154912 44699926 66309824 89399852 156449741 178799704 312899482 357599408 625798964 715198816 1251597928 1430397632 2503195856 5006391712 10012783424