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21217930704 = 2432197747953
BaseRepresentation
bin10011110000101011…
…111110110111010000
32000202201021120002100
4103300223332313100
5321423242240304
613425233520400
71350541302165
oct236053766720
960681246070
1021217930704
118aa8a72423
124141a13100
132001b096a9
141053d6206c
15842b49439
hex4f0afedd0

21217930704 has 60 divisors (see below), whose sum is σ = 59682241476. Its totient is φ = 7036732416.

The previous prime is 21217930703. The next prime is 21217930709. The reversal of 21217930704 is 40703971212.

It can be written as a sum of positive squares in 2 ways, for example, as 12310346304 + 8907584400 = 110952^2 + 94380^2 .

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 (21217930703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345609 + ... + 402344.

Almost surely, 221217930704 is an apocalyptic number.

21217930704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21217930704 is an abundant number, since it is smaller than the sum of its proper divisors (38464310772).

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

21217930704 is a wasteful number, since it uses less digits than its factorization.

21217930704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748164 (or 748155 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 21217930704 in words is "twenty-one billion, two hundred seventeen million, nine hundred thirty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 394 591 788 1182 1576 1773 2364 3152 3546 4728 7092 9456 14184 28368 747953 1495906 2243859 2991812 4487718 5983624 6731577 8975436 11967248 13463154 17950872 26926308 35901744 53852616 107705232 147346741 294693482 442040223 589386964 884080446 1178773928 1326120669 1768160892 2357547856 2652241338 3536321784 5304482676 7072643568 10608965352 21217930704