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2557166767542 = 2322943113925277
BaseRepresentation
bin100101001101100011000…
…001000100110110110110
3100001110111100102020200100
4211031203001010312312
5313344034143030132
65234425102254530
7352514655613242
oct45154301046666
910043440366610
102557166767542
118a6540a7a912
12353719b87446
131571a81779ca
148baa6171422
15467b776237c
hex25363044db6

2557166767542 has 48 divisors (see below), whose sum is σ = 5864873311440. Its totient is φ = 803856747456.

The previous prime is 2557166767523. The next prime is 2557166767553. The reversal of 2557166767542 is 2457676617552.

2557166767542 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 16 + 6 + 76 + 7 + 542 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2557166767542.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 56940193 + ... + 56985084.

It is an arithmetic number, because the mean of its divisors is an integer number (122184860655).

Almost surely, 22557166767542 is an apocalyptic number.

2557166767542 is an abundant number, since it is smaller than the sum of its proper divisors (3307706543898).

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

2557166767542 is a wasteful number, since it uses less digits than its factorization.

2557166767542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113925357 (or 113925354 counting only the distinct ones).

The product of its digits is 148176000, while the sum is 63.

The spelling of 2557166767542 in words is "two trillion, five hundred fifty-seven billion, one hundred sixty-six million, seven hundred sixty-seven thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 29 43 58 86 87 129 174 258 261 387 522 774 1247 2494 3741 7482 11223 22446 113925277 227850554 341775831 683551662 1025327493 2050654986 3303833033 4898786911 6607666066 9797573822 9911499099 14696360733 19822998198 29392721466 29734497297 44089082199 59468994594 88178164398 142064820419 284129640838 426194461257 852388922514 1278583383771 2557166767542