Search a number
-
+
57072110814 = 2331961911899
BaseRepresentation
bin110101001001110000…
…110100110011011110
312110022110020121212000
4311021300310303132
51413340430021224
642115113223130
74060204636425
oct651160646336
9173273217760
1057072110814
112222779a634
12b089401aa6
1354c6ca3194
142a95a9c2bc
1517406a50c9
hexd49c34cde

57072110814 has 64 divisors (see below), whose sum is σ = 135690720000. Its totient is φ = 17727297120.

The previous prime is 57072110807. The next prime is 57072110827. The reversal of 57072110814 is 41801127075.

57072110814 is a `hidden beast` number, since 570 + 7 + 2 + 1 + 1 + 0 + 81 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 393364 + ... + 518535.

It is an arithmetic number, because the mean of its divisors is an integer number (2120167500).

Almost surely, 257072110814 is an apocalyptic number.

57072110814 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

57072110814 is an abundant number, since it is smaller than the sum of its proper divisors (78618609186).

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

57072110814 is a wasteful number, since it uses less digits than its factorization.

57072110814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911990 (or 911984 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

Adding to 57072110814 its reverse (41801127075), we get a palindrome (98873237889).

The spelling of 57072110814 in words is "fifty-seven billion, seventy-two million, one hundred ten thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 61 114 122 171 183 342 366 513 549 1026 1098 1159 1647 2318 3294 3477 6954 10431 20862 31293 62586 911899 1823798 2735697 5471394 8207091 16414182 17326081 24621273 34652162 49242546 51978243 55625839 103956486 111251678 155934729 166877517 311869458 333755034 467804187 500632551 935608374 1001265102 1056890941 1501897653 2113781882 3003795306 3170672823 6341345646 9512018469 19024036938 28536055407 57072110814