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632631042154112 = 27113142813062693
BaseRepresentation
bin1000111111010111111110010…
…0100010101001111010000000
310001221221221022001120122201012
42033311333210202221322000
51130410011333242412422
610121254404424100052
7250153040656161461
oct21765774442517200
93057857261518635
10632631042154112
111736373557031a1
125ab54174004628
13211ccb0b3abb61
14b231711d58d68
154d212ba1774e2
hex23f5fe48a9e80

632631042154112 has 64 divisors (see below), whose sum is σ = 1271562373231560. Its totient is φ = 313494212935680.

The previous prime is 632631042154079. The next prime is 632631042154123. The reversal of 632631042154112 is 211451240136236.

It can be written as a sum of positive squares in 4 ways, for example, as 184183332245056 + 448447709909056 = 13571416^2 + 21176584^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 632631042154112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205029038 + ... + 208091730.

Almost surely, 2632631042154112 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 632631042154112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635781186615780).

632631042154112 is an abundant number, since it is smaller than the sum of its proper divisors (638931331077448).

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

632631042154112 is a wasteful number, since it uses less digits than its factorization.

632631042154112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077101 (or 3077089 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 632631042154112 in words is "six hundred thirty-two trillion, six hundred thirty-one billion, forty-two million, one hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 3616 7232 14281 14464 28562 57124 114248 228496 456992 913984 1613753 1827968 3062693 3227506 6125386 6455012 12250772 12910024 24501544 25820048 49003088 51640096 98006176 103280192 196012352 206560384 346084309 392024704 692168618 1384337236 2768674472 5537348944 11074697888 22149395776 43738318733 44298791552 87476637466 174953274932 349906549864 699813099728 1399626199456 2799252398912 4942430016829 5598504797824 9884860033658 19769720067316 39539440134632 79078880269264 158157760538528 316315521077056 632631042154112