Search a number
-
+
56690655528 = 233131954717483
BaseRepresentation
bin110100110011000001…
…101100000100101000
312102022212110200120110
4310303001230010220
51412100301434103
642013205254320
74044563423043
oct646301540450
9172285420513
1056690655528
1122051440631
12aba17043a0
135465c557b0
142a5b163c5a
15171be56403
hexd3306c128

56690655528 has 128 divisors (see below), whose sum is σ = 160964697600. Its totient is φ = 16494057216.

The previous prime is 56690655503. The next prime is 56690655533. The reversal of 56690655528 is 82555609665.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 3233875 + ... + 3251357.

It is an arithmetic number, because the mean of its divisors is an integer number (1257536700).

Almost surely, 256690655528 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 56690655528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80482348800).

56690655528 is an abundant number, since it is smaller than the sum of its proper divisors (104274042072).

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

56690655528 is a wasteful number, since it uses less digits than its factorization.

56690655528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18071 (or 18067 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 57.

The spelling of 56690655528 in words is "fifty-six billion, six hundred ninety million, six hundred fifty-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 547 741 988 1094 1482 1641 1976 2188 2964 3282 4376 5928 6564 7111 10393 13128 14222 17483 20786 21333 28444 31179 34966 41572 42666 52449 56888 62358 69932 83144 85332 104898 124716 135109 139864 170664 209796 227279 249432 270218 332177 405327 419592 454558 540436 664354 681837 810654 909116 996531 1080872 1328708 1363674 1621308 1818232 1993062 2657416 2727348 3242616 3986124 4318301 5454696 7972248 8636602 9563201 12954903 17273204 19126402 25909806 28689603 34546408 38252804 51819612 57379206 76505608 103639224 114758412 124321613 181700819 229516824 248643226 363401638 372964839 497286452 545102457 726803276 745929678 994572904 1090204914 1453606552 1491859356 2180409828 2362110647 2983718712 4360819656 4724221294 7086331941 9448442588 14172663882 18896885176 28345327764 56690655528