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12553045040 = 2454318120161
BaseRepresentation
bin10111011000011100…
…00100010000110000
31012101211202202112002
423230032010100300
5201202034420130
65433343153132
7623035056644
oct135416042060
935354682462
1012553045040
115361959598
122523ba57a8
131250900003
14871260c24
154d70b5b45
hex2ec384430

12553045040 has 80 divisors (see below), whose sum is σ = 30031057056. Its totient is φ = 4877107200.

The previous prime is 12553045031. The next prime is 12553045061. The reversal of 12553045040 is 4054035521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12553044994 and 12553045012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612560 + ... + 632720.

Almost surely, 212553045040 is an apocalyptic number.

12553045040 is a gapful number since it is divisible by the number (10) 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 12553045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15015528528).

12553045040 is an abundant number, since it is smaller than the sum of its proper divisors (17478012016).

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

12553045040 is a wasteful number, since it uses less digits than its factorization.

12553045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20398 (or 20392 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The spelling of 12553045040 in words is "twelve billion, five hundred fifty-three million, forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 181 215 344 362 430 688 724 860 905 1448 1720 1810 2896 3440 3620 7240 7783 14480 15566 20161 31132 38915 40322 62264 77830 80644 100805 124528 155660 161288 201610 311320 322576 403220 622640 806440 866923 1612880 1733846 3467692 3649141 4334615 6935384 7298282 8669230 13870768 14596564 17338460 18245705 29193128 34676920 36491410 58386256 69353840 72982820 145965640 156913063 291931280 313826126 627652252 784565315 1255304504 1569130630 2510609008 3138261260 6276522520 12553045040