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42052015962 = 2321131992381
BaseRepresentation
bin100111001010011111…
…101101011101011010
311000112200021202012200
4213022133231131122
51142110304002322
631152440351030
73016042144425
oct471237553532
9130480252180
1042052015962
111691a2a3000
128197175476
133c7223c7a8
14206cd269bc
151161c218ac
hex9ca7ed75a

42052015962 has 96 divisors (see below), whose sum is σ = 105492853440. Its totient is φ = 12072218400.

The previous prime is 42052015961. The next prime is 42052015963. The reversal of 42052015962 is 26951025024.

42052015962 is a `hidden beast` number, since 4 + 20 + 520 + 1 + 59 + 62 = 666.

It is an interprime number because it is at equal distance from previous prime (42052015961) and next prime (42052015963).

It is not an unprimeable number, because it can be changed into a prime (42052015961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409012 + ... + 501392.

It is an arithmetic number, because the mean of its divisors is an integer number (1098883890).

Almost surely, 242052015962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42052015962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52746426720).

42052015962 is an abundant number, since it is smaller than the sum of its proper divisors (63440837478).

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

42052015962 is a wasteful number, since it uses less digits than its factorization.

42052015962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92441 (or 92416 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 42052015962 in words is "forty-two billion, fifty-two million, fifteen thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 121 171 198 209 242 342 363 418 627 726 1089 1254 1331 1881 2178 2299 2662 3762 3993 4598 6897 7986 11979 13794 20691 23958 25289 41382 50578 75867 92381 151734 184762 227601 277143 455202 554286 831429 1016191 1662858 1755239 2032382 3048573 3510478 5265717 6097146 9145719 10531434 11178101 15797151 18291438 19307629 22356202 31594302 33534303 38615258 57922887 67068606 100602909 115845774 122959111 173768661 201205818 212383919 245918222 347537322 368877333 424767838 637151757 737754666 1106631999 1274303514 1911455271 2213263998 2336223109 3822910542 4672446218 7008669327 14017338654 21026007981 42052015962