Search a number
-
+
57115712056520 = 235134111932245577
BaseRepresentation
bin11001111110010010010011…
…01110100110110011001000
321111020012122011202202101002
430333021021232212303020
524441240434241302040
6321250332413514132
715013321406063645
oct1477111156466310
9244205564682332
1057115712056520
11172207014a8107
1264a54a84a2948
1325b3cb0a780b0
1410165b54badcc
15690a9db62a15
hex33f249ba6cc8

57115712056520 has 128 divisors (see below), whose sum is σ = 141890169385440. Its totient is φ = 20557260226560.

The previous prime is 57115712056499. The next prime is 57115712056547. The reversal of 57115712056520 is 2565021751175.

It can be written as a sum of positive squares in 16 ways, for example, as 116020621924 + 56999691434596 = 340618^2 + 7549814^2 .

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, 24311972 + ... + 26557548.

Almost surely, 257115712056520 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 57115712056520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70945084692720).

57115712056520 is an abundant number, since it is smaller than the sum of its proper divisors (84774457328920).

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

57115712056520 is a wasteful number, since it uses less digits than its factorization.

57115712056520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246835 (or 2246831 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 47.

The spelling of 57115712056520 in words is "fifty-seven trillion, one hundred fifteen billion, seven hundred twelve million, fifty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 328 410 520 533 820 1066 1193 1640 2132 2386 2665 4264 4772 5330 5965 9544 10660 11930 15509 21320 23860 31018 47720 48913 62036 77545 97826 124072 155090 195652 244565 310180 391304 489130 620360 635869 978260 1271738 1956520 2245577 2543476 3179345 4491154 5086952 6358690 8982308 11227885 12717380 17964616 22455770 25434760 29192501 44911540 58385002 89823080 92068657 116770004 145962505 184137314 233540008 291925010 368274628 460343285 583850020 736549256 920686570 1167700040 1196892541 1841373140 2393785082 2678973361 3682746280 4787570164 5357946722 5984462705 9575140328 10715893444 11968925410 13394866805 21431786888 23937850820 26789733610 34826653693 47875701640 53579467220 69653307386 107158934440 109837907801 139306614772 174133268465 219675815602 278613229544 348266536930 439351631204 549189539005 696533073860 878703262408 1098379078010 1393066147720 1427892801413 2196758156020 2855785602826 4393516312040 5711571205652 7139464007065 11423142411304 14278928014130 28557856028260 57115712056520