Search a number
-
+
56677745358 = 23313233419827
BaseRepresentation
bin110100110010010000…
…011100001011001110
312102021222011210011000
4310302100130023032
51412034000322413
642012024441130
74044345613053
oct646220341316
9172258153130
1056677745358
1122045122a73
12ab993191a6
135463385440
142a5956302a
15171ac56073
hexd3241c2ce

56677745358 has 128 divisors (see below), whose sum is σ = 136711411200. Its totient is φ = 17302070016.

The previous prime is 56677745347. The next prime is 56677745359. The reversal of 56677745358 is 85354777665.

It is a happy number.

56677745358 is a `hidden beast` number, since 5 + 6 + 67 + 77 + 453 + 58 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56677745295 and 56677745304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56677745359) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68533741 + ... + 68534567.

It is an arithmetic number, because the mean of its divisors is an integer number (1068057900).

Almost surely, 256677745358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56677745358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68355705600).

56677745358 is an abundant number, since it is smaller than the sum of its proper divisors (80033665842).

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

56677745358 is a wasteful number, since it uses less digits than its factorization.

56677745358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1497 counting only the distinct ones).

The product of its digits is 148176000, while the sum is 63.

The spelling of 56677745358 in words is "fifty-six billion, six hundred seventy-seven million, seven hundred forty-five thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 233 234 351 419 466 699 702 827 838 1257 1398 1654 2097 2481 2514 3029 3771 4194 4962 5447 6058 6291 7443 7542 9087 10751 10894 11313 12582 14886 16341 18174 21502 22329 22626 27261 32253 32682 44658 49023 54522 64506 81783 96759 97627 98046 147069 163566 192691 193518 195254 290277 292881 294138 346513 385382 578073 580554 585762 693026 878643 1039539 1156146 1269151 1734219 1757286 2079078 2504983 2538302 2635929 3118617 3468438 3807453 4504669 5009966 5202657 5271858 6237234 7514949 7614906 9009338 9355851 10405314 11422359 13514007 15029898 18711702 22544847 22844718 27028014 34267077 40542021 45089694 67634541 68534154 80737529 81084042 121626063 135269082 161475058 242212587 243252126 484425174 726637761 1049587877 1453275522 2099175754 2179913283 3148763631 4359826566 6297527262 9446290893 18892581786 28338872679 56677745358