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10145572344 = 2332413436847
BaseRepresentation
bin10010111001011100…
…10010010111111000
3222012001200110211200
421130232102113320
5131234231303334
64354422454200
7506262641055
oct113456222770
928161613750
1010145572344
114336a02736
121b71894360
13c58bc8c5b
146c361802c
153e5a65799
hex25cb925f8

10145572344 has 48 divisors (see below), whose sum is σ = 28147785120. Its totient is φ = 3299372160.

The previous prime is 10145572319. The next prime is 10145572361. The reversal of 10145572344 is 44327554101.

10145572344 is a `hidden beast` number, since 1 + 0 + 1 + 45 + 572 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10145572299 and 10145572308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1715472 + ... + 1721375.

It is an arithmetic number, because the mean of its divisors is an integer number (586412190).

Almost surely, 210145572344 is an apocalyptic number.

It is an amenable number.

10145572344 is an abundant number, since it is smaller than the sum of its proper divisors (18002212776).

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

10145572344 is a wasteful number, since it uses less digits than its factorization.

10145572344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436900 (or 3436893 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 10145572344 in words is "ten billion, one hundred forty-five million, five hundred seventy-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 3436847 6873694 10310541 13747388 20621082 27494776 30931623 41242164 61863246 82484328 123726492 140910727 247452984 281821454 422732181 563642908 845464362 1127285816 1268196543 1690928724 2536393086 3381857448 5072786172 10145572344