Search a number
-
+
21780005256 = 23322916076491
BaseRepresentation
bin10100010010001100…
…001000000110001000
32002012212220220102100
4110102030020012020
5324101140132011
614001113033400
71400504663412
oct242214100610
962185826370
1021780005256
119267277349
12427a0b5860
1320913b6a99
1410a88759b2
15877174d56
hex512308188

21780005256 has 96 divisors (see below), whose sum is σ = 61068945600. Its totient is φ = 7004215680.

The previous prime is 21780005239. The next prime is 21780005279. The reversal of 21780005256 is 65250008712.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21780005256.

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, 3352171 + ... + 3358661.

It is an arithmetic number, because the mean of its divisors is an integer number (636134850).

Almost surely, 221780005256 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 21780005256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30534472800).

21780005256 is an abundant number, since it is smaller than the sum of its proper divisors (39288940344).

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

21780005256 is a wasteful number, since it uses less digits than its factorization.

21780005256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8139 (or 8132 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 21780005256 in words is "twenty-one billion, seven hundred eighty million, five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 1607 2088 3214 4821 6428 6491 9642 12856 12982 14463 19284 19473 25964 28926 38568 38946 46603 51928 57852 58419 77892 93206 115704 116838 139809 155784 186412 188239 233676 279618 372824 376478 419427 467352 559236 564717 752956 838854 1118472 1129434 1505912 1677708 1694151 2258868 3355416 3388302 4517736 6776604 10431037 13553208 20862074 31293111 41724148 62586222 83448296 93879333 125172444 187758666 250344888 302500073 375517332 605000146 751034664 907500219 1210000292 1815000438 2420000584 2722500657 3630000876 5445001314 7260001752 10890002628 21780005256