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57542100875928 = 23322927558477431
BaseRepresentation
bin11010001010101100100000…
…11110110111101010011000
321112201222012221120001020200
431011112100132313222120
530020232210311012203
6322214250510022200
715056164621204344
oct1505262036675230
9245658187501220
1057542100875928
1117375516909069
1265540651a7960
132615273585376
14102d0a4268624
1569bc071159a3
hex3455907b7a98

57542100875928 has 48 divisors (see below), whose sum is σ = 161217092977200. Its totient is φ = 18519296832960.

The previous prime is 57542100875927. The next prime is 57542100875983. The reversal of 57542100875928 is 82957800124575.

57542100875928 is a `hidden beast` number, since 5 + 7 + 542 + 1 + 0 + 0 + 87 + 5 + 9 + 2 + 8 = 666.

57542100875928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×575421008759282 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57542100875927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13779236628 + ... + 13779240803.

It is an arithmetic number, because the mean of its divisors is an integer number (3358689437025).

Almost surely, 257542100875928 is an apocalyptic number.

57542100875928 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

57542100875928 is an abundant number, since it is smaller than the sum of its proper divisors (103674992101272).

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

57542100875928 is a wasteful number, since it uses less digits than its factorization.

57542100875928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27558477472 (or 27558477465 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 57542100875928 in words is "fifty-seven trillion, five hundred forty-two billion, one hundred million, eight hundred seventy-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 27558477431 55116954862 82675432293 110233909724 165350864586 220467819448 248026296879 330701729172 496052593758 661403458344 799195845499 992105187516 1598391690998 1984210375032 2397587536497 3196783381996 4795175072994 6393566763992 7192762609491 9590350145988 14385525218982 19180700291976 28771050437964 57542100875928