Search a number
-
+
5941115060094 = 2336116712498647
BaseRepresentation
bin101011001110100011000…
…0011010111111101111110
3210000222001112010200001000
41112131012003113331332
51234314400423410334
620345151030231130
71152142240532424
oct126350603277576
923028045120030
105941115060094
111990681626565
127bb5174b54a6
133413249273a6
141677a1479114
15a481e593299
hex567460d7f7e

5941115060094 has 128 divisors (see below), whose sum is σ = 13511635200000. Its totient is φ = 1934468490240.

The previous prime is 5941115060053. The next prime is 5941115060147. The reversal of 5941115060094 is 4900605111495.

5941115060094 is a `hidden beast` number, since 5 + 9 + 41 + 11 + 506 + 0 + 0 + 94 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 687068079 + ... + 687076725.

It is an arithmetic number, because the mean of its divisors is an integer number (105559650000).

Almost surely, 25941115060094 is an apocalyptic number.

5941115060094 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5941115060094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755817600000).

5941115060094 is an abundant number, since it is smaller than the sum of its proper divisors (7570520139906).

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

5941115060094 is a wasteful number, since it uses less digits than its factorization.

5941115060094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10135 (or 10129 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 5941115060094 in words is "five trillion, nine hundred forty-one billion, one hundred fifteen million, sixty thousand, ninety-four".

Divisors: 1 2 3 6 9 18 27 54 61 122 167 183 334 366 501 549 1002 1098 1249 1503 1647 2498 3006 3294 3747 4509 7494 8647 9018 10187 11241 17294 20374 22482 25941 30561 33723 51882 61122 67446 76189 77823 91683 152378 155646 183366 208583 228567 233469 275049 417166 457134 466938 527467 550098 625749 685701 1054934 1251498 1371402 1444049 1582401 1877247 2057103 2888098 3164802 3754494 4114206 4332147 4747203 5631741 8664294 9494406 10800103 11263482 12723563 12996441 14241609 21600206 25447126 25992882 28483218 32400309 38170689 38989323 64800618 76341378 77978646 88086989 97200927 114512067 176173978 194401854 229024134 264260967 291602781 343536201 528521934 583205562 658806283 687072402 792782901 1317612566 1585565802 1803617201 1976418849 2378348703 3607234402 3952837698 4756697406 5410851603 5929256547 10821703206 11858513094 16232554809 17787769641 32465109618 35575539282 48697664427 97395328854 110020649261 220041298522 330061947783 660123895566 990185843349 1980371686698 2970557530047 5941115060094