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45048938832 = 2433155966889
BaseRepresentation
bin101001111101001000…
…000100000101010000
311022021112112012112000
4221331020010011100
51214230012020312
632410055034000
73153232443042
oct517510040520
9138245465460
1045048938832
1118117a51567
12889296b900
13432c0b7531
142274d6ba92
151289da8adc
hexa7d204150

45048938832 has 80 divisors (see below), whose sum is σ = 129392016000. Its totient is φ = 15006456576.

The previous prime is 45048938813. The next prime is 45048938833. The reversal of 45048938832 is 23883984054.

45048938832 is a `hidden beast` number, since 4 + 50 + 489 + 3 + 88 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45048938833) 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, 640044 + ... + 706932.

It is an arithmetic number, because the mean of its divisors is an integer number (1617400200).

Almost surely, 245048938832 is an apocalyptic number.

It is an amenable number.

45048938832 is an abundant number, since it is smaller than the sum of its proper divisors (84343077168).

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

45048938832 is a wasteful number, since it uses less digits than its factorization.

45048938832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68465 (or 68453 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 45048938832 in words is "forty-five billion, forty-eight million, nine hundred thirty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1559 3118 4677 6236 9354 12472 14031 18708 24944 28062 37416 42093 56124 66889 74832 84186 112248 133778 168372 200667 224496 267556 336744 401334 535112 602001 673488 802668 1070224 1204002 1605336 1806003 2408004 3210672 3612006 4816008 7224012 9632016 14448024 28896048 104279951 208559902 312839853 417119804 625679706 834239608 938519559 1251359412 1668479216 1877039118 2502718824 2815558677 3754078236 5005437648 5631117354 7508156472 11262234708 15016312944 22524469416 45048938832