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45026505100 = 22525361313859
BaseRepresentation
bin101001111011110010…
…011111000110001100
311022012222022110020001
4221323302133012030
51214203241130400
632403534134044
73152540656423
oct517362370614
9138188273201
1045026505100
1118106319795
128887351324
134327561435
142271dac2ba
151287e26a6a
hexa7bc9f18c

45026505100 has 72 divisors (see below), whose sum is σ = 99720648720. Its totient is φ = 17640679680.

The previous prime is 45026505089. The next prime is 45026505131. The reversal of 45026505100 is 150562054.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3241971 + ... + 3255829.

It is an arithmetic number, because the mean of its divisors is an integer number (1385009010).

Almost surely, 245026505100 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 45026505100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49860324360).

45026505100 is an abundant number, since it is smaller than the sum of its proper divisors (54694143620).

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

45026505100 is a wasteful number, since it uses less digits than its factorization.

45026505100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14539 (or 14532 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 45026505100 in words is "forty-five billion, twenty-six million, five hundred five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 613 1060 1226 1325 2452 2650 3065 5300 6130 12260 13859 15325 27718 30650 32489 55436 61300 64978 69295 129956 138590 162445 277180 324890 346475 649780 692950 734527 812225 1385900 1469054 1624450 2938108 3248900 3672635 7345270 8495567 14690540 16991134 18363175 33982268 36726350 42477835 73452700 84955670 169911340 212389175 424778350 450265051 849556700 900530102 1801060204 2251325255 4502650510 9005301020 11256626275 22513252550 45026505100