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10142551666352 = 2471718312909323
BaseRepresentation
bin1001001110010111111100…
…1100000110111010110000
31022220121200212100012202202
42103211333030012322300
52312133421211310402
633323231322002332
72064526612460150
oct223457714067260
938817625305682
1010142551666352
113260482aaa926
1211798400463a8
13587591569661
14270c8b5ba760
15128c6eb98b02
hex9397f306eb0

10142551666352 has 80 divisors (see below), whose sum is σ = 23792591319552. Its totient is φ = 4088877511680.

The previous prime is 10142551666349. The next prime is 10142551666391. The reversal of 10142551666352 is 25366615524101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10142551666297 and 10142551666306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2031563 + ... + 4940885.

Almost surely, 210142551666352 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 10142551666352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11896295659776).

10142551666352 is an abundant number, since it is smaller than the sum of its proper divisors (13650039653200).

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

10142551666352 is a wasteful number, since it uses less digits than its factorization.

10142551666352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911186 (or 2911180 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 47.

The spelling of 10142551666352 in words is "ten trillion, one hundred forty-two billion, five hundred fifty-one million, six hundred sixty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1831 1904 3662 7324 12817 14648 25634 29296 31127 51268 62254 102536 124508 205072 217889 249016 435778 498032 871556 1743112 2909323 3486224 5818646 11637292 20365261 23274584 40730522 46549168 49458491 81461044 98916982 162922088 197833964 325844176 346209437 395667928 692418874 791335856 1384837748 2769675496 5326970413 5539350992 10653940826 21307881652 37288792891 42615763304 74577585782 85231526608 90558497021 149155171564 181116994042 298310343128 362233988084 596620686256 633909479147 724467976168 1267818958294 1448935952336 2535637916588 5071275833176 10142551666352