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54639533936 = 241319103269499
BaseRepresentation
bin110010111000110001…
…010001111101110000
312020000220220220201002
4302320301101331300
51343400210041221
641033454501132
73643006242521
oct627061217560
9166026826632
1054639533936
1121199657619
12a70a8047a8
1351ca01c690
14290499c848
15164bd4680b
hexcb8c51f70

54639533936 has 160 divisors (see below), whose sum is σ = 121867200000. Its totient is φ = 23523830784.

The previous prime is 54639533933. The next prime is 54639533939. The reversal of 54639533936 is 63933593645.

54639533936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54639533933) and next prime (54639533939).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54639533933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109497815 + ... + 109498313.

It is an arithmetic number, because the mean of its divisors is an integer number (761670000).

Almost surely, 254639533936 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 54639533936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933600000).

54639533936 is an abundant number, since it is smaller than the sum of its proper divisors (67227666064).

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

54639533936 is a wasteful number, since it uses less digits than its factorization.

54639533936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 905 counting only the distinct ones).

The product of its digits is 23619600, while the sum is 56.

The spelling of 54639533936 in words is "fifty-four billion, six hundred thirty-nine million, five hundred thirty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 103 104 152 206 208 247 269 304 412 494 499 538 824 988 998 1076 1339 1648 1957 1976 1996 2152 2678 3497 3914 3952 3992 4304 5111 5356 6487 6994 7828 7984 9481 10222 10712 12974 13988 15656 18962 20444 21424 25441 25948 27707 27976 31312 37924 40888 50882 51397 51896 55414 55952 66443 75848 81776 101764 102794 103792 110828 123253 132886 134231 151696 203528 205588 221656 246506 265772 268462 360191 407056 411176 443312 493012 526433 531544 536924 668161 720382 822352 976543 986024 1052866 1063088 1073848 1336322 1440764 1745003 1953086 1972048 2105732 2147696 2550389 2672644 2881528 3490006 3906172 4211464 5100778 5345288 5763056 6843629 6980012 7812344 8422928 10201556 10690576 12695059 13687258 13825793 13960024 15624688 20403112 25390118 27374516 27651586 27920048 33155057 40806224 50780236 54749032 55303172 66310114 101560472 109498064 110606344 132620228 179735309 203120944 221212688 262690067 265240456 359470618 525380134 530480912 718941236 1050760268 1437882472 2101520536 2875764944 3414970871 4203041072 6829941742 13659883484 27319766968 54639533936