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54241653592 = 23729477110009
BaseRepresentation
bin110010100001000011…
…011111001101011000
312012000012020111111001
4302201003133031120
51342041330403332
640530202514344
73630105306520
oct624103371530
9165005214431
1054241653592
1121004aaa195
12a6195059b4
135165770b19
1428a7bca680
151626e510e7
hexca10df358

54241653592 has 128 divisors (see below), whose sum is σ = 124540416000. Its totient is φ = 21655710720.

The previous prime is 54241653577. The next prime is 54241653593. The reversal of 54241653592 is 29535614245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54241653593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5414284 + ... + 5424292.

It is an arithmetic number, because the mean of its divisors is an integer number (972972000).

Almost surely, 254241653592 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 54241653592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62270208000).

54241653592 is an abundant number, since it is smaller than the sum of its proper divisors (70298762408).

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

54241653592 is a wasteful number, since it uses less digits than its factorization.

54241653592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10169 (or 10165 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 46.

The spelling of 54241653592 in words is "fifty-four billion, two hundred forty-one million, six hundred fifty-three thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 29 47 56 58 71 94 116 142 188 203 232 284 329 376 406 497 568 658 812 994 1316 1363 1624 1988 2059 2632 2726 3337 3976 4118 5452 6674 8236 9541 10009 10904 13348 14413 16472 19082 20018 23359 26696 28826 38164 40036 46718 57652 70063 76328 80072 93436 96773 115304 140126 186872 193546 280252 290261 387092 470423 560504 580522 677411 710639 774184 940846 1161044 1354822 1421278 1881692 2031827 2322088 2709644 2842556 3292961 3763384 4063654 4974473 5419288 5685112 6585922 8127308 9948946 13171844 13642267 16254616 19897892 20608531 26343688 27284534 33400033 39795784 41217062 54569068 66800066 82434124 95495869 109138136 133600132 144259717 164868248 190991738 233800231 267200264 288519434 381983476 467600462 577038868 763966952 935200924 968600957 1154077736 1870401848 1937201914 3874403828 6780206699 7748807656 13560413398 27120826796 54241653592