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4957306056 = 2333972231061
BaseRepresentation
bin1001001110111101…
…00111110011001000
3110210111001020111000
410213132213303020
540123032243211
62135524135000
7233563256223
oct44736476310
913714036430
104957306056
1121142a745a
12b64237460
13610060ac1
1435054a5ba
151e0321656
hex1277a7cc8

4957306056 has 128 divisors (see below), whose sum is σ = 13987814400. Its totient is φ = 1626531840.

The previous prime is 4957306051. The next prime is 4957306073. The reversal of 4957306056 is 6506037594.

4957306056 is a `hidden beast` number, since 4 + 9 + 5 + 7 + 30 + 605 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (4957306051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4671766 + ... + 4672826.

It is an arithmetic number, because the mean of its divisors is an integer number (109279800).

Almost surely, 24957306056 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 4957306056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993907200).

4957306056 is an abundant number, since it is smaller than the sum of its proper divisors (9030508344).

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

4957306056 is a wasteful number, since it uses less digits than its factorization.

4957306056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 4957306056 is about 70408.1391317794. The cubic root of 4957306056 is about 1705.0949865526.

The spelling of 4957306056 in words is "four billion, nine hundred fifty-seven million, three hundred six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 223 291 388 446 582 669 776 873 892 1061 1164 1338 1746 1784 2007 2122 2328 2619 2676 3183 3492 4014 4244 5238 5352 6021 6366 6984 8028 8488 9549 10476 12042 12732 16056 19098 20952 21631 24084 25464 28647 38196 43262 48168 57294 64893 76392 86524 102917 114588 129786 173048 194679 205834 229176 236603 259572 308751 389358 411668 473206 519144 584037 617502 709809 778716 823336 926253 946412 1168074 1235004 1419618 1557432 1852506 1892824 2129427 2336148 2470008 2778759 2839236 3705012 4258854 4672296 5557518 5678472 6388281 7410024 8517708 11115036 12776562 17035416 22230072 22950491 25553124 45900982 51106248 68851473 91801964 137702946 183603928 206554419 275405892 413108838 550811784 619663257 826217676 1239326514 1652435352 2478653028 4957306056