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10354364540 = 2251383479813
BaseRepresentation
bin10011010010010101…
…10001000001111100
3222201121120012212222
421221022301001330
5132201204131130
64431241544512
7514406434502
oct115112610174
928647505788
1010354364540
114433850373
12200b7a5138
13c90241130
14703248672
15409059ce5
hex2692b107c

10354364540 has 48 divisors (see below), whose sum is σ = 23698973088. Its totient is φ = 3777080064.

The previous prime is 10354364497. The next prime is 10354364543. The reversal of 10354364540 is 4546345301.

It is a super-3 number, since 3×103543645403 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10354364540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10354364543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218327 + ... + 261486.

It is an arithmetic number, because the mean of its divisors is an integer number (493728606).

Almost surely, 210354364540 is an apocalyptic number.

10354364540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10354364540 is an abundant number, since it is smaller than the sum of its proper divisors (13344608548).

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

10354364540 is a wasteful number, since it uses less digits than its factorization.

10354364540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479918 (or 479916 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 10354364540 in words is "ten billion, three hundred fifty-four million, three hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 260 332 415 830 1079 1660 2158 4316 5395 10790 21580 479813 959626 1919252 2399065 4798130 6237569 9596260 12475138 24950276 31187845 39824479 62375690 79648958 124751380 159297916 199122395 398244790 517718227 796489580 1035436454 2070872908 2588591135 5177182270 10354364540