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3166105561428 = 22319139191523049
BaseRepresentation
bin101110000100101010100…
…110001110100101010100
3102012200021100012002011210
4232010222212032211110
5403333141010431203
610422253330101420
7444513022142655
oct56045246164524
912180240162153
103166105561428
11101081305a577
1243174241a870
1319c7409a5564
14ad35165752c
155755721b803
hex2e12a98e954

3166105561428 has 96 divisors (see below), whose sum is σ = 7873367040000. Its totient is φ = 987430936320.

The previous prime is 3166105561427. The next prime is 3166105561433. The reversal of 3166105561428 is 8241655016613.

It is a super-2 number, since 2×31661055614282 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3166105561427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5791648 + ... + 6314696.

It is an arithmetic number, because the mean of its divisors is an integer number (82014240000).

Almost surely, 23166105561428 is an apocalyptic number.

3166105561428 is a gapful number since it is divisible by the number (38) 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 3166105561428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936683520000).

3166105561428 is an abundant number, since it is smaller than the sum of its proper divisors (4707261478572).

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

3166105561428 is a wasteful number, since it uses less digits than its factorization.

3166105561428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523405 (or 523403 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 3166105561428 in words is "three trillion, one hundred sixty-six billion, one hundred five million, five hundred sixty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 139 191 228 278 382 417 556 573 764 834 1146 1668 2292 2641 3629 5282 7258 7923 10564 10887 14516 15846 21774 26549 31692 43548 53098 79647 106196 159294 318588 504431 523049 1008862 1046098 1513293 1569147 2017724 2092196 3026586 3138294 6053172 6276588 9937931 19875862 29813793 39751724 59627586 72703811 99902359 119255172 145407622 199804718 218111433 290815244 299707077 399609436 436222866 599414154 872445732 1198828308 1381372409 1898144821 2762744818 3796289642 4144117227 5525489636 5694434463 7592579284 8288234454 11388868926 13886427901 16576468908 22777737852 27772855802 41659283703 55545711604 83318567406 166637134812 263842130119 527684260238 791526390357 1055368520476 1583052780714 3166105561428