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21139424256 = 210329237287
BaseRepresentation
bin10011101100000000…
…100000010000000000
32000120020120000111010
4103230000200100000
5321243143034011
613413351120520
71345566066336
oct235400402000
960506500433
1021139424256
118a68721365
12411b673140
131cbb780082
141047767b56
1583acdd1a6
hex4ec020400

21139424256 has 88 divisors (see below), whose sum is σ = 58287424320. Its totient is φ = 6803464192.

The previous prime is 21139424239. The next prime is 21139424309. The reversal of 21139424256 is 65242493112.

It is a super-2 number, since 2×211394242562 (a number of 21 digits) contains 22 as substring.

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, 29556 + ... + 207731.

Almost surely, 221139424256 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 21139424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29143712160).

21139424256 is an abundant number, since it is smaller than the sum of its proper divisors (37148000064).

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

21139424256 is a wasteful number, since it uses less digits than its factorization.

21139424256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237339 (or 237321 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The spelling of 21139424256 in words is "twenty-one billion, one hundred thirty-nine million, four hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2784 3072 3712 5568 7424 11136 14848 22272 29696 44544 89088 237287 474574 711861 949148 1423722 1898296 2847444 3796592 5694888 6881323 7593184 11389776 13762646 15186368 20643969 22779552 27525292 30372736 41287938 45559104 55050584 60745472 82575876 91118208 110101168 121490944 165151752 182236416 220202336 242981888 330303504 364472832 440404672 660607008 728945664 880809344 1321214016 1761618688 2642428032 3523237376 5284856064 7046474752 10569712128 21139424256