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45137630592 = 273319687403
BaseRepresentation
bin101010000010011010…
…011001010110000000
311022111201102012202000
4222002122121112000
51214420213134332
632422544024000
73155360346435
oct520232312600
9138451365660
1045137630592
1118163019a3a
1288b8602000
13434459bb72
142282a57b8c
151292a77b7c
hexa82699580

45137630592 has 128 divisors (see below), whose sum is σ = 140230416000. Its totient is φ = 14253967872.

The previous prime is 45137630537. The next prime is 45137630599. The reversal of 45137630592 is 29503673154.

45137630592 is a `hidden beast` number, since 4 + 5 + 1 + 3 + 7 + 630 + 5 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45137630599) by changing a digit.

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, 278038 + ... + 409365.

It is an arithmetic number, because the mean of its divisors is an integer number (1095550125).

Almost surely, 245137630592 is an apocalyptic number.

It is an amenable number.

45137630592 is an abundant number, since it is smaller than the sum of its proper divisors (95092785408).

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

45137630592 is a wasteful number, since it uses less digits than its factorization.

45137630592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687445 (or 687427 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 45137630592 in words is "forty-five billion, one hundred thirty-seven million, six hundred thirty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1728 1824 2052 2432 2736 3456 3648 4104 5472 7296 8208 10944 16416 21888 32832 65664 687403 1374806 2062209 2749612 4124418 5499224 6186627 8248836 10998448 12373254 13060657 16497672 18559881 21996896 24746508 26121314 32995344 37119762 39181971 43993792 49493016 52242628 65990688 74239524 78363942 87987584 98986032 104485256 117545913 131981376 148479048 156727884 197972064 208970512 235091826 263962752 296958096 313455768 352637739 395944128 417941024 470183652 593916192 626911536 705275478 791888256 835882048 940367304 1187832384 1253823072 1410550956 1671764096 1880734608 2375664768 2507646144 2821101912 3761469216 5015292288 5642203824 7522938432 11284407648 15045876864 22568815296 45137630592