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21072411256 = 231338391429
BaseRepresentation
bin10011101000000000…
…110111101001111000
32000101120110101221011
4103220000313221320
5321124014130011
613402554523304
71344123353221
oct235000675170
960346411834
1021072411256
118a33910516
124101136534
131caa919000
14103c8c2248
15834ea2621
hex4e8037a78

21072411256 has 64 divisors (see below), whose sum is σ = 42882840000. Its totient is φ = 9707338368.

The previous prime is 21072411253. The next prime is 21072411289. The reversal of 21072411256 is 65211427012.

It is a super-2 number, since 2×210724112562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21072411253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14745550 + ... + 14746978.

It is an arithmetic number, because the mean of its divisors is an integer number (670044375).

Almost surely, 221072411256 is an apocalyptic number.

21072411256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21072411256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21441420000).

21072411256 is an abundant number, since it is smaller than the sum of its proper divisors (21810428744).

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

21072411256 is a wasteful number, since it uses less digits than its factorization.

21072411256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

Adding to 21072411256 its reverse (65211427012), we get a palindrome (86283838268).

The spelling of 21072411256 in words is "twenty-one billion, seventy-two million, four hundred eleven thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 839 1352 1429 1678 2197 2858 3356 4394 5716 6712 8788 10907 11432 17576 18577 21814 37154 43628 74308 87256 141791 148616 241501 283582 483002 567164 966004 1134328 1198931 1843283 1932008 2397862 3139513 3686566 4795724 6279026 7373132 9591448 12558052 14746264 15586103 25116104 31172206 62344412 124688824 202619339 405238678 810477356 1620954712 2634051407 5268102814 10536205628 21072411256