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51319425024 = 211327397751
BaseRepresentation
bin101111110010111000…
…000100100000000000
311220110112112220111100
4233302320010200000
51320100233100044
635324213214400
73464512625640
oct576270044000
9156415486440
1051319425024
111a84552865a
129b42931400
134abb2194aa
1426aba6a520
151505620869
hexbf2e04800

51319425024 has 144 divisors (see below), whose sum is σ = 169394621760. Its totient is φ = 14662656000.

The previous prime is 51319425023. The next prime is 51319425029. The reversal of 51319425024 is 42052491315.

51319425024 is a `hidden beast` number, since 513 + 1 + 94 + 2 + 50 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51319425024.

It is not an unprimeable number, because it can be changed into a prime (51319425023) 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 11 ways as a sum of consecutive naturals, for example, 69852 + ... + 327899.

It is an arithmetic number, because the mean of its divisors is an integer number (1176351540).

Almost surely, 251319425024 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 51319425024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84697310880).

51319425024 is an abundant number, since it is smaller than the sum of its proper divisors (118075196736).

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

51319425024 is a wasteful number, since it uses less digits than its factorization.

51319425024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397786 (or 397763 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 51319425024 in words is "fifty-one billion, three hundred nineteen million, four hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4608 5376 6144 7168 8064 9216 10752 14336 16128 18432 21504 32256 43008 64512 129024 397751 795502 1193253 1591004 2386506 2784257 3182008 3579759 4773012 5568514 6364016 7159518 8352771 9546024 11137028 12728032 14319036 16705542 19092048 22274056 25058313 25456064 28638072 33411084 38184096 44548112 50116626 50912128 57276144 66822168 76368192 89096224 100233252 101824256 114552288 133644336 152736384 178192448 200466504 203648512 229104576 267288672 305472768 356384896 400933008 407297024 458209152 534577344 610945536 712769792 801866016 814594048 916418304 1069154688 1221891072 1425539584 1603732032 1832836608 2138309376 2443782144 2851079168 3207464064 3665673216 4276618752 5702158336 6414928128 7331346432 8553237504 12829856256 17106475008 25659712512 51319425024