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45206432765 = 51321947139431
BaseRepresentation
bin101010000110100000…
…110110101111111101
311022200111212201120122
4222012200312233331
51220040321322030
632433442424325
73160154224034
oct520640665775
9138614781518
1045206432765
111819894203a
1289176620a5
13435590b400
14228bc4771b
151298b188e5
hexa86836bfd

45206432765 has 96 divisors (see below), whose sum is σ = 63750758400. Its totient is φ = 30659316480.

The previous prime is 45206432753. The next prime is 45206432801. The reversal of 45206432765 is 56723460254.

It is not a de Polignac number, because 45206432765 - 210 = 45206431741 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104887100 + ... + 104887530.

It is an arithmetic number, because the mean of its divisors is an integer number (664070400).

Almost surely, 245206432765 is an apocalyptic number.

It is an amenable number.

45206432765 is a deficient number, since it is larger than the sum of its proper divisors (18544325635).

45206432765 is a wasteful number, since it uses less digits than its factorization.

45206432765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 44.

The spelling of 45206432765 in words is "forty-five billion, two hundred six million, four hundred thirty-two thousand, seven hundred sixty-five".

Divisors: 1 5 13 19 47 65 95 139 169 235 247 431 611 695 845 893 1235 1807 2155 2641 3055 3211 4465 5603 6533 7943 8189 9035 11609 13205 16055 20257 23491 28015 32665 34333 39715 40945 58045 59909 72839 84929 101285 106457 117455 124127 150917 171665 263341 299545 364195 384883 424645 446329 532285 620635 754585 778817 1104077 1138271 1316705 1383941 1613651 1924415 2231645 2815723 3423433 3894085 5003479 5520385 5691355 6919705 8068255 10124621 14078615 14797523 17117165 20977463 25017395 36604399 50623105 53498737 65045227 73987615 104887315 183021995 192367799 267493685 325226135 475857187 695483581 961838995 2379285935 3477417905 9041286553 45206432765