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5292681504 = 253118815689
BaseRepresentation
bin1001110110111011…
…11110100100100000
3111122212010002002220
410323131332210200
541314411302004
62233104311040
7245105023215
oct47335764440
914585102086
105292681504
112276642a50
121038612480
13664696506
14382ccbb0c
1520e9bbdd9
hex13b77e920

5292681504 has 96 divisors (see below), whose sum is σ = 15176185920. Its totient is φ = 1601740800.

The previous prime is 5292681467. The next prime is 5292681509. The reversal of 5292681504 is 4051862925.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5292681509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927492 + ... + 933180.

It is an arithmetic number, because the mean of its divisors is an integer number (158085270).

Almost surely, 25292681504 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 5292681504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588092960).

5292681504 is an abundant number, since it is smaller than the sum of its proper divisors (9883504416).

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

5292681504 is a wasteful number, since it uses less digits than its factorization.

5292681504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6594 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 5292681504 is about 72750.8178923096. The cubic root of 5292681504 is about 1742.7105224272.

The spelling of 5292681504 in words is "five billion, two hundred ninety-two million, six hundred eighty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 881 1056 1762 2643 3524 5286 5689 7048 9691 10572 11378 14096 17067 19382 21144 22756 28192 29073 34134 38764 42288 45512 58146 62579 68268 77528 84576 91024 116292 125158 136536 155056 182048 187737 232584 250316 273072 310112 375474 465168 500632 546144 750948 930336 1001264 1501896 2002528 3003792 5012009 6007584 10024018 15036027 20048036 30072054 40096072 55132099 60144108 80192144 110264198 120288216 160384288 165396297 220528396 240576432 330792594 441056792 481152864 661585188 882113584 1323170376 1764227168 2646340752 5292681504