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21213400432 = 24710312171511
BaseRepresentation
bin10011110000011010…
…101100110101110000
32000202101202101201111
4103300122230311300
5321421112303212
613424552443104
71350454633330
oct236032546560
960671671644
1021213400432
118aa64587a4
1241403a9494
132000bb1663
1410535030c0
15842551ea7
hex4f06acd70

21213400432 has 80 divisors (see below), whose sum is σ = 47498959872. Its totient is φ = 8989839360.

The previous prime is 21213400393. The next prime is 21213400441. The reversal of 21213400432 is 23400431212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14038557 + ... + 14040067.

Almost surely, 221213400432 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 21213400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23749479936).

21213400432 is an abundant number, since it is smaller than the sum of its proper divisors (26285559440).

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

21213400432 is a wasteful number, since it uses less digits than its factorization.

21213400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 21213400432 its reverse (23400431212), we get a palindrome (44613831644).

The spelling of 21213400432 in words is "twenty-one billion, two hundred thirteen million, four hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 206 412 721 824 1217 1442 1511 1648 2434 2884 3022 4868 5768 6044 8519 9736 10577 11536 12088 17038 19472 21154 24176 34076 42308 68152 84616 125351 136304 155633 169232 250702 311266 501404 622532 877457 1002808 1089431 1245064 1754914 1838887 2005616 2178862 2490128 3509828 3677774 4357724 7019656 7355548 8715448 12872209 14039312 14711096 17430896 25744418 29422192 51488836 102977672 189405361 205955344 378810722 757621444 1325837527 1515242888 2651675054 3030485776 5303350108 10606700216 21213400432