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10142366650432 = 264113272912759
BaseRepresentation
bin1001001110010111010000…
…1010010101000001000000
31022220121012222012102122021
42103211310022111001000
52312133031330303212
633323201112251224
72064522205041142
oct223456412250100
938817188172567
1010142366650432
113260398621705
1211797aa0a0b14
1358756212a693
14270c70bb8c92
15128c5d7ee307
hex93974295040

10142366650432 has 56 divisors (see below), whose sum is σ = 20632686923520. Its totient is φ = 4943765898240.

The previous prime is 10142366650417. The next prime is 10142366650433. The reversal of 10142366650432 is 23405666324101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10142366650433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2025669 + ... + 4938427.

It is an arithmetic number, because the mean of its divisors is an integer number (368440837920).

Almost surely, 210142366650432 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 10142366650432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10316343461760).

10142366650432 is an abundant number, since it is smaller than the sum of its proper divisors (10490320273088).

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

10142366650432 is a wasteful number, since it uses less digits than its factorization.

10142366650432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914139 (or 2914129 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 10142366650432 in words is "ten trillion, one hundred forty-two billion, three hundred sixty-six million, six hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 1327 2624 2654 5308 10616 21232 42464 54407 84928 108814 217628 435256 870512 1741024 2912759 3482048 5825518 11651036 23302072 46604144 93208288 119423119 186416576 238846238 477692476 955384952 1910769904 3821539808 3865231193 7643079616 7730462386 15460924772 30921849544 61843699088 123687398176 158474478913 247374796352 316948957826 633897915652 1267795831304 2535591662608 5071183325216 10142366650432