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57112214313336 = 233713227115199477
BaseRepresentation
bin11001111110001011110010…
…01111110001100101111000
321111012212121102010222202020
430333011321033301211320
524441211303331011321
6321244553345034440
715013135624543650
oct1477057117614570
9244185542128666
1057112214313336
111721a177081966
1264a4891025a20
1325b387421ba80
141016362b49360
15690946a4e4c6
hex33f1793f1978

57112214313336 has 128 divisors (see below), whose sum is σ = 176504032212480. Its totient is φ = 14996206987776.

The previous prime is 57112214313317. The next prime is 57112214313347. The reversal of 57112214313336 is 63331341221175.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57103971 + ... + 58095506.

It is an arithmetic number, because the mean of its divisors is an integer number (1378937751660).

Almost surely, 257112214313336 is an apocalyptic number.

57112214313336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

57112214313336 is an abundant number, since it is smaller than the sum of its proper divisors (119391817899144).

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

57112214313336 is a wasteful number, since it uses less digits than its factorization.

57112214313336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115199733 (or 115199729 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The spelling of 57112214313336 in words is "fifty-seven trillion, one hundred twelve billion, two hundred fourteen million, three hundred thirteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 227 273 312 364 454 546 681 728 908 1092 1362 1589 1816 2184 2724 2951 3178 4767 5448 5902 6356 8853 9534 11804 12712 17706 19068 20657 23608 35412 38136 41314 61971 70824 82628 123942 165256 247884 495768 115199477 230398954 345598431 460797908 691196862 806396339 921595816 1382393724 1497593201 1612792678 2419189017 2764787448 2995186402 3225585356 4492779603 4838378034 5990372804 6451170712 8985559206 9676756068 10483152407 11980745608 17971118412 19353512136 20966304814 26150281279 31449457221 35942236824 41932609628 52300562558 62898914442 78450843837 83865219256 104601125116 125797828884 156901687674 183051968953 209202250232 251595657768 313803375348 339953656627 366103937906 549155906859 627606750696 679907313254 732207875812 1019860969881 1098311813718 1359814626508 1464415751624 2039721939762 2196623627436 2379675596389 2719629253016 4079443879524 4393247254872 4759351192778 7139026789167 8158887759048 9518702385556 14278053578334 19037404771112 28556107156668 57112214313336