Search a number
-
+
256621343220 = 2232511129606739
BaseRepresentation
bin1110111011111111010…
…0101111000111110100
3220112101101022221110100
43232333310233013310
513201030030440340
6313520141554100
724353213266254
oct3567764570764
9815341287410
10256621343220
1199918070430
1241899b75930
131b278ab7168
14c5c5d61964
156a1e288830
hex3bbfd2f1f4

256621343220 has 72 divisors (see below), whose sum is σ = 849183360480. Its totient is φ = 62211234240.

The previous prime is 256621343201. The next prime is 256621343221. The reversal of 256621343220 is 22343126652.

256621343220 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 213 + 432 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256621343221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64801390 + ... + 64805349.

It is an arithmetic number, because the mean of its divisors is an integer number (11794213340).

Almost surely, 2256621343220 is an apocalyptic number.

256621343220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256621343220 is an abundant number, since it is smaller than the sum of its proper divisors (592562017260).

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

256621343220 is a wasteful number, since it uses less digits than its factorization.

256621343220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129606765 (or 129606760 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 256621343220 its reverse (22343126652), we get a palindrome (278964469872).

The spelling of 256621343220 in words is "two hundred fifty-six billion, six hundred twenty-one million, three hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 129606739 259213478 388820217 518426956 648033695 777640434 1166460651 1296067390 1425674129 1555280868 1944101085 2332921302 2592134780 2851348258 3888202170 4277022387 4665842604 5702696516 5832303255 7128370645 7776404340 8554044774 11664606510 12831067161 14256741290 17108089548 21385111935 23329213020 25662134322 28513482580 42770223870 51324268644 64155335805 85540447740 128310671610 256621343220