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45697514000 = 2453191119627
BaseRepresentation
bin101010100011110010…
…001011101000010000
311100221201221020101112
4222203302023220100
51222042030422000
632554304152452
73205266313535
oct524362135020
9140851836345
1045697514000
11184200676a6
128a34008728
13440358cb18
1422d715ad8c
1512c6cbe235
hexaa3c8ba10

45697514000 has 80 divisors (see below), whose sum is σ = 111076033536. Its totient is φ = 18183152000.

The previous prime is 45697513999. The next prime is 45697514011. The reversal of 45697514000 is 41579654.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322187 + ... + 441813.

Almost surely, 245697514000 is an apocalyptic number.

45697514000 is a gapful number since it is divisible by the number (40) 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 45697514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55538016768).

45697514000 is an abundant number, since it is smaller than the sum of its proper divisors (65378519536).

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

45697514000 is a wasteful number, since it uses less digits than its factorization.

45697514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119841 (or 119825 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 45697514000 in words is "forty-five billion, six hundred ninety-seven million, five hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 191 200 250 382 400 500 764 955 1000 1528 1910 2000 3056 3820 4775 7640 9550 15280 19100 23875 38200 47750 76400 95500 119627 191000 239254 382000 478508 598135 957016 1196270 1914032 2392540 2990675 4785080 5981350 9570160 11962700 14953375 22848757 23925400 29906750 45697514 47850800 59813500 91395028 114243785 119627000 182790056 228487570 239254000 365580112 456975140 571218925 913950280 1142437850 1827900560 2284875700 2856094625 4569751400 5712189250 9139502800 11424378500 22848757000 45697514000