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55501536693312 = 2632206593466409
BaseRepresentation
bin11001001111010011101010…
…11000010000110001000000
321021111220011112001012201200
430213221311120100301000
524233314121343141222
6314013015353501200
714455565550634233
oct1447516530206100
9237456145035650
1055501536693312
11167590845a5516
1262846a0411800
1324c7a07103998
14d9c40830941a
15663ac7d5aeac
hex327a75610c40

55501536693312 has 84 divisors (see below), whose sum is σ = 159086244948540. Its totient is φ = 18500383014912.

The previous prime is 55501536693311. The next prime is 55501536693331. The reversal of 55501536693312 is 21339663510555.

55501536693312 is a `hidden beast` number, since 5 + 5 + 5 + 0 + 1 + 536 + 6 + 93 + 3 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35679309382656 + 19822227310656 = 5973216^2 + 4452216^2 .

It is not an unprimeable number, because it can be changed into a prime (55501536693311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118764364 + ... + 119230772.

It is an arithmetic number, because the mean of its divisors is an integer number (1893883868435).

Almost surely, 255501536693312 is an apocalyptic number.

It is an amenable number.

55501536693312 is an abundant number, since it is smaller than the sum of its proper divisors (103584708255228).

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

55501536693312 is a wasteful number, since it uses less digits than its factorization.

55501536693312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673020 (or 673007 counting only the distinct ones).

The product of its (nonzero) digits is 10935000, while the sum is 54.

The spelling of 55501536693312 in words is "fifty-five trillion, five hundred one billion, five hundred thirty-six million, six hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 206593 413186 466409 619779 826372 932818 1239558 1399227 1652744 1859337 1865636 2479116 2798454 3305488 3718674 3731272 4197681 4958232 5596908 6610976 7437348 7462544 8395362 9916464 11193816 13221952 14874696 14925088 16790724 19832928 22387632 29749392 29850176 33581448 39665856 44775264 59498784 67162896 89550528 118997568 134325792 268651584 96356834537 192713669074 289070503611 385427338148 578141007222 770854676296 867211510833 1156282014444 1541709352592 1734423021666 2312564028888 3083418705184 3468846043332 4625128057776 6166837410368 6937692086664 9250256115552 13875384173328 18500512231104 27750768346656 55501536693312