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42160856832 = 28337383557
BaseRepresentation
bin100111010000111110…
…111001111100000000
311000211021002102211000
4213100332321330000
51142321134404312
631211325252000
73021533240643
oct472076717400
9130737072730
1042160856832
1116975782836
128207704000
133c8b95a383
14207d579a5a
15116b570adc
hex9d0fb9f00

42160856832 has 144 divisors (see below), whose sum is σ = 126386488480. Its totient is φ = 13860937728.

The previous prime is 42160856789. The next prime is 42160856833. The reversal of 42160856832 is 23865806124.

42160856832 is a `hidden beast` number, since 4 + 2 + 1 + 608 + 5 + 6 + 8 + 32 = 666.

42160856832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42160856833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462798 + ... + 546354.

Almost surely, 242160856832 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 42160856832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63193244240).

42160856832 is an abundant number, since it is smaller than the sum of its proper divisors (84225631648).

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

42160856832 is an equidigital number, since it uses as much as digits as its factorization.

42160856832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83655 (or 83635 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 42160856832 in words is "forty-two billion, one hundred sixty million, eight hundred fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 128 144 146 192 216 219 256 288 292 384 432 438 576 584 657 768 864 876 1152 1168 1314 1728 1752 1971 2304 2336 2628 3456 3504 3942 4672 5256 6912 7008 7884 9344 10512 14016 15768 18688 21024 28032 31536 42048 56064 63072 83557 84096 126144 167114 168192 250671 252288 334228 501342 504576 668456 752013 1002684 1336912 1504026 2005368 2256039 2673824 3008052 4010736 4512078 5347648 6016104 6099661 8021472 9024156 10695296 12032208 12199322 16042944 18048312 18298983 21390592 24064416 24398644 32085888 36096624 36597966 48128832 48797288 54896949 64171776 72193248 73195932 96257664 97594576 109793898 144386496 146391864 164690847 192515328 195189152 219587796 288772992 292783728 329381694 390378304 439175592 577545984 585567456 658763388 780756608 878351184 1171134912 1317526776 1561513216 1756702368 2342269824 2635053552 3513404736 4684539648 5270107104 7026809472 10540214208 14053618944 21080428416 42160856832