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10144735074 = 23217231441423
BaseRepresentation
bin10010111001010110…
…00101111101100010
3222012000002221022200
421130223011331202
5131234023010244
64354352514030
7506252553045
oct113453057542
928160087280
1010144735074
114336490681
121b7154b916
13c58994b26
146c347ac5c
153e594c669
hex25cac5f62

10144735074 has 48 divisors (see below), whose sum is σ = 24285111552. Its totient is φ = 3044283264.

The previous prime is 10144735067. The next prime is 10144735093. The reversal of 10144735074 is 47053744101.

10144735074 is a `hidden beast` number, since 1 + 0 + 144 + 7 + 3 + 507 + 4 = 666.

10144735074 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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, 713674 + ... + 727749.

It is an arithmetic number, because the mean of its divisors is an integer number (505939824).

Almost surely, 210144735074 is an apocalyptic number.

10144735074 is an abundant number, since it is smaller than the sum of its proper divisors (14140376478).

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

10144735074 is a wasteful number, since it uses less digits than its factorization.

10144735074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441471 (or 1441468 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 10144735074 in words is "ten billion, one hundred forty-four million, seven hundred thirty-five thousand, seventy-four".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 782 1173 2346 3519 7038 1441423 2882846 4324269 8648538 12972807 24504191 25945614 33152729 49008382 66305458 73512573 99458187 147025146 198916374 220537719 298374561 441075438 563596393 596749122 1127192786 1690789179 3381578358 5072367537 10144735074