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56340205308 = 223217827111317
BaseRepresentation
bin110100011110001000…
…110100111011111100
312101102110000222020200
4310132020310323330
51410341043032213
641514330043500
74033106562222
oct643610647374
9171373028220
1056340205308
1121991639152
12ab04279590
13540b4726ba
142a267bab12
1516eb2ce273
hexd1e234efc

56340205308 has 72 divisors (see below), whose sum is σ = 150976595952. Its totient is φ = 17653827072.

The previous prime is 56340205283. The next prime is 56340205343. The reversal of 56340205308 is 80350204365.

It is a happy number.

56340205308 is a `hidden beast` number, since 5 + 6 + 340 + 2 + 0 + 5 + 308 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450466 + ... + 561782.

It is an arithmetic number, because the mean of its divisors is an integer number (2096897166).

Almost surely, 256340205308 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 56340205308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75488297976).

56340205308 is an abundant number, since it is smaller than the sum of its proper divisors (94636390644).

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

56340205308 is a wasteful number, since it uses less digits than its factorization.

56340205308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112171 (or 112166 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 56340205308 in words is "fifty-six billion, three hundred forty million, two hundred five thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 827 1654 2481 3308 4962 7443 9924 14059 14886 28118 29772 42177 56236 84354 111317 126531 168708 222634 253062 333951 445268 506124 667902 1001853 1335804 1892389 2003706 3784778 4007412 5677167 7569556 11354334 17031501 22708668 34063002 68126004 92059159 184118318 276177477 368236636 552354954 828532431 1104709908 1565005703 1657064862 3130011406 3314129724 4695017109 6260022812 9390034218 14085051327 18780068436 28170102654 56340205308