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6057147460 = 22571321115773
BaseRepresentation
bin1011010010000100…
…01011110001000100
3120122010120222020211
411221002023301010
544401112204320
62441013405204
7303046622020
oct55102136104
916563528224
106057147460
1126291135a1
121210639804
13756b87530
14416647380
15256b7555a
hex16908bc44

6057147460 has 96 divisors (see below), whose sum is σ = 15730589952. Its totient is φ = 1907781120.

The previous prime is 6057147431. The next prime is 6057147491. The reversal of 6057147460 is 647417506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376134 + ... + 391906.

It is an arithmetic number, because the mean of its divisors is an integer number (163860312).

Almost surely, 26057147460 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 6057147460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7865294976).

6057147460 is an abundant number, since it is smaller than the sum of its proper divisors (9673442492).

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

6057147460 is a wasteful number, since it uses less digits than its factorization.

6057147460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16013 (or 16011 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 6057147460 is about 77827.6779815510. The cubic root of 6057147460 is about 1822.8714745226.

The spelling of 6057147460 in words is "six billion, fifty-seven million, one hundred forty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 211 260 364 422 455 844 910 1055 1477 1820 2110 2743 2954 4220 5486 5908 7385 10972 13715 14770 15773 19201 27430 29540 31546 38402 54860 63092 76804 78865 96005 110411 157730 192010 205049 220822 315460 384020 410098 441644 552055 820196 1025245 1104110 1435343 2050490 2208220 2870686 3328103 4100980 5741372 6656206 7176715 13312412 14353430 16640515 23296721 28706860 33281030 43265339 46593442 66562060 86530678 93186884 116483605 173061356 216326695 232967210 302857373 432653390 465934420 605714746 865306780 1211429492 1514286865 3028573730 6057147460