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2121272256 = 26334931657
BaseRepresentation
bin111111001110000…
…0000101111000000
312110211112210111010
41332130000233000
513321021203011
6550254120520
7103365342135
oct17634005700
95424483433
102121272256
11999448274
124b24b0140
1327a6283ac
14161a2658c
15c636a1a6
hex7e700bc0

2121272256 has 56 divisors (see below), whose sum is σ = 5628792400. Its totient is φ = 705042432.

The previous prime is 2121272203. The next prime is 2121272281. The reversal of 2121272256 is 6522721212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51180 + ... + 82836.

It is an arithmetic number, because the mean of its divisors is an integer number (100514150).

Almost surely, 22121272256 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 2121272256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814396200).

2121272256 is an abundant number, since it is smaller than the sum of its proper divisors (3507520144).

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

2121272256 is a wasteful number, since it uses less digits than its factorization.

2121272256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32021 (or 32011 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 2121272256 is about 46057.2714780196. The cubic root of 2121272256 is about 1284.8885843636. Note that the first 3 decimals are identical.

Adding to 2121272256 its reverse (6522721212), we get a palindrome (8643993468).

The spelling of 2121272256 in words is "two billion, one hundred twenty-one million, two hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 349 698 1047 1396 2094 2792 4188 5584 8376 11168 16752 22336 31657 33504 63314 67008 94971 126628 189942 253256 379884 506512 759768 1013024 1519536 2026048 3039072 6078144 11048293 22096586 33144879 44193172 66289758 88386344 132579516 176772688 265159032 353545376 530318064 707090752 1060636128 2121272256