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3942169056 = 253272967429
BaseRepresentation
bin1110101011111000…
…1011100111100000
3101011201212221022100
43222332023213200
531033143402211
61451102210400
7166455612150
oct35276134740
911151787270
103942169056
111743284a61
12920283a00
134aa953b17
142957bc760
15181150156
hexeaf8b9e0

3942169056 has 144 divisors (see below), whose sum is σ = 13254040800. Its totient is φ = 1087478784.

The previous prime is 3942169043. The next prime is 3942169057. The reversal of 3942169056 is 6509612493.

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

It is a super-2 number, since 2×39421690562 = 31081393732167862272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3942169057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24750 + ... + 92178.

It is an arithmetic number, because the mean of its divisors is an integer number (92041950).

Almost surely, 23942169056 is an apocalyptic number.

3942169056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3942169056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6627020400).

3942169056 is an abundant number, since it is smaller than the sum of its proper divisors (9311871744).

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

3942169056 is a wasteful number, since it uses less digits than its factorization.

3942169056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67481 (or 67470 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3942169056 is about 62786.6948962915. The cubic root of 3942169056 is about 1579.7138102595.

The spelling of 3942169056 in words is "three billion, nine hundred forty-two million, one hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2784 3248 3654 4176 4872 6496 7308 8352 9744 14616 19488 29232 58464 67429 134858 202287 269716 404574 472003 539432 606861 809148 944006 1078864 1213722 1416009 1618296 1888012 1955441 2157728 2427444 2832018 3236592 3776024 3910882 4248027 4854888 5664036 5866323 6473184 7552048 7821764 8496054 9709776 11328072 11732646 13688087 15104096 15643528 16992108 17598969 19419552 22656144 23465292 27376174 31287056 33984216 35197938 41064261 45312288 46930584 54752348 62574112 67968432 70395876 82128522 93861168 109504696 123192783 135936864 140791752 164257044 187722336 219009392 246385566 281583504 328514088 438018784 492771132 563167008 657028176 985542264 1314056352 1971084528 3942169056