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10042191360 = 29325435859
BaseRepresentation
bin10010101101000111…
…11010111000000000
3221220212011011210100
421112203322320000
5131031300110420
64340251002400
7503566134555
oct112643727000
927825134710
1010042191360
114293612003
121b43139400
13c40670586
146b39c6a2c
153db944190
hex2568fae00

10042191360 has 120 divisors (see below), whose sum is σ = 34779012840. Its totient is φ = 2677911552.

The previous prime is 10042191323. The next prime is 10042191373. The reversal of 10042191360 is 6319124001.

10042191360 is a `hidden beast` number, since 100 + 421 + 9 + 136 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194890 + ... + 240969.

It is an arithmetic number, because the mean of its divisors is an integer number (289825107).

Almost surely, 210042191360 is an apocalyptic number.

10042191360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042191360 is an abundant number, since it is smaller than the sum of its proper divisors (24736821480).

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

10042191360 is an equidigital number, since it uses as much as digits as its factorization.

10042191360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435888 (or 435869 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10042191360 in words is "ten billion, forty-two million, one hundred ninety-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 435859 871718 1307577 1743436 2179295 2615154 3486872 3922731 4358590 5230308 6537885 6973744 7845462 8717180 10460616 13075770 13947488 15690924 17434360 19613655 20921232 26151540 27894976 31381848 34868720 39227310 41842464 52303080 55789952 62763696 69737440 78454620 83684928 104606160 111579904 125527392 139474880 156909240 167369856 209212320 223159808 251054784 278949760 313818480 334739712 418424640 502109568 557899520 627636960 669479424 836849280 1004219136 1115799040 1255273920 1673698560 2008438272 2510547840 3347397120 5021095680 10042191360