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45151525561044 = 22378321433021989
BaseRepresentation
bin10100100010000101010001…
…01001000110001011010100
312220212102222110010011221010
422101002220221012023110
521404230311020423134
6240010154031252220
712340042615605030
oct1221025051061324
9186772873104833
1045151525561044
1113428722099331
12509280267a070
131c26a02cacb06
14b214ba08b1c0
15534764e15ce9
hex2910a8a462d4

45151525561044 has 96 divisors (see below), whose sum is σ = 121911621672960. Its totient is φ = 12739057446528.

The previous prime is 45151525560941. The next prime is 45151525561073. The reversal of 45151525561044 is 44016552515154.

45151525561044 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45151525560984 and 45151525561002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13430002 + ... + 16451990.

It is an arithmetic number, because the mean of its divisors is an integer number (1269912725760).

Almost surely, 245151525561044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45151525561044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60955810836480).

45151525561044 is an abundant number, since it is smaller than the sum of its proper divisors (76760096111916).

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

45151525561044 is a wasteful number, since it uses less digits than its factorization.

45151525561044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024229 (or 3024227 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 48.

The spelling of 45151525561044 in words is "forty-five trillion, one hundred fifty-one billion, five hundred twenty-five million, five hundred sixty-one thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 996 1162 1743 2143 2324 3486 4286 6429 6972 8572 12858 15001 25716 30002 45003 60004 90006 177869 180012 355738 533607 711476 1067214 1245083 2134428 2490166 3021989 3735249 4980332 6043978 7470498 9065967 12087956 14940996 18131934 21153923 36263868 42307846 63461769 84615692 126923538 250825087 253847076 501650174 752475261 1003300348 1504950522 1755775609 3009901044 3511551218 5267326827 6476122427 7023102436 10534653654 12952244854 19428367281 21069307308 25904489708 38856734562 45332856989 77713469124 90665713978 135998570967 181331427956 271997141934 537518161441 543994283868 1075036322882 1612554484323 2150072645764 3225108968646 3762627130087 6450217937292 7525254260174 11287881390261 15050508520348 22575762780522 45151525561044