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53132681394 = 23213975214493
BaseRepresentation
bin110001011110111101…
…000110000010110010
312002010220111212121200
4301132331012002302
51332303431301034
640224145432030
73560451224442
oct613675060262
9162126455550
1053132681394
1120596016a41
12a36a03b616
135019a9b360
1428007d4122
1515ae8e6a99
hexc5ef460b2

53132681394 has 96 divisors (see below), whose sum is σ = 125522704944. Its totient is φ = 16145326080.

The previous prime is 53132681377. The next prime is 53132681411. The reversal of 53132681394 is 49318623135.

53132681394 is a `hidden beast` number, since 53 + 132 + 6 + 81 + 394 = 666.

53132681394 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 (53132681377) and next prime (53132681411).

It can be written as a sum of positive squares in 8 ways, for example, as 28259291025 + 24873390369 = 168105^2 + 157713^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11823412 + ... + 11827904.

Almost surely, 253132681394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53132681394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62761352472).

53132681394 is an abundant number, since it is smaller than the sum of its proper divisors (72390023550).

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

53132681394 is a wasteful number, since it uses less digits than its factorization.

53132681394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132 (or 5129 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 53132681394 in words is "fifty-three billion, one hundred thirty-two million, six hundred eighty-one thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 521 582 873 1042 1261 1563 1746 2522 3126 3783 4493 4689 6773 7566 8986 9378 11349 13479 13546 20319 22698 26958 40437 40638 50537 58409 60957 80874 101074 116818 121914 151611 175227 303222 350454 435821 454833 525681 656981 871642 909666 1051362 1307463 1313962 1970943 2340853 2614926 3922389 3941886 4681706 5665673 5912829 7022559 7844778 11331346 11825658 14045118 16997019 21067677 30431089 33994038 42135354 50991057 60862178 91293267 101982114 182586534 227062741 273879801 454125482 547759602 681188223 1362376446 2043564669 2951815633 4087129338 5903631266 8855446899 17710893798 26566340697 53132681394