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57749260888 = 2311535923557
BaseRepresentation
bin110101110010000111…
…111100101001011000
312112001122102102010101
4311302013330221120
51421232302322023
642310223025144
74113036422044
oct656207745130
9175048372111
1057749260888
1122544a524a0
12b23813b1b4
1355a4371bb7
142b1b9a9024
15177ed621ad
hexd721fca58

57749260888 has 96 divisors (see below), whose sum is σ = 122461094160. Its totient is φ = 25310754560.

The previous prime is 57749260853. The next prime is 57749260927. The reversal of 57749260888 is 88806294775.

It is a super-2 number, since 2×577492608882 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

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, 16233606 + ... + 16237162.

Almost surely, 257749260888 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 57749260888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61230547080).

57749260888 is an abundant number, since it is smaller than the sum of its proper divisors (64711833272).

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

57749260888 is a wasteful number, since it uses less digits than its factorization.

57749260888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 64.

The spelling of 57749260888 in words is "fifty-seven billion, seven hundred forty-nine million, two hundred sixty thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 22 44 53 59 88 106 118 212 236 424 472 583 649 1166 1298 2332 2596 3127 3481 3557 4664 5192 6254 6962 7114 12508 13924 14228 25016 27848 28456 34397 38291 39127 68794 76582 78254 137588 153164 156508 184493 188521 209863 275176 306328 313016 368986 377042 419726 737972 754084 839452 1475944 1508168 1678904 2029423 2073731 2308493 4058846 4147462 4616986 8117692 8294924 9233972 11122739 12381917 16235384 16589848 18467944 22245478 24763834 44490956 49527668 88981912 99055336 122350129 136201087 244700258 272402174 489400516 544804348 656241601 978801032 1089608696 1312483202 2624966404 5249932808 7218657611 14437315222 28874630444 57749260888