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21629298504 = 23311612515351
BaseRepresentation
bin10100001001001101…
…001110011101001000
32001211101100012121210
4110021031032131020
5323244100023004
613534130533120
71363665001212
oct241115163510
961741305553
1021629298504
11919a1a2110
1242377371a0
1320690cb2a8
1410928455b2
15868d06089
hex50934e748

21629298504 has 128 divisors (see below), whose sum is σ = 60206146560. Its totient is φ = 6420000000.

The previous prime is 21629298503. The next prime is 21629298557. The reversal of 21629298504 is 40589292612.

It is not an unprimeable number, because it can be changed into a prime (21629298503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4039429 + ... + 4044779.

It is an arithmetic number, because the mean of its divisors is an integer number (470360520).

Almost surely, 221629298504 is an apocalyptic number.

21629298504 is a gapful number since it is divisible by the number (24) 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 21629298504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30103073280).

21629298504 is an abundant number, since it is smaller than the sum of its proper divisors (38576848056).

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

21629298504 is a wasteful number, since it uses less digits than its factorization.

21629298504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 21629298504 in words is "twenty-one billion, six hundred twenty-nine million, two hundred ninety-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 183 244 251 264 366 488 502 671 732 753 1004 1342 1464 1506 2008 2013 2684 2761 3012 4026 5351 5368 5522 6024 8052 8283 10702 11044 15311 16053 16104 16566 21404 22088 30622 32106 33132 42808 45933 58861 61244 64212 66264 91866 117722 122488 128424 168421 176583 183732 235444 326411 336842 353166 367464 470888 505263 652822 673684 706332 979233 1010526 1305644 1343101 1347368 1412664 1958466 2021052 2611288 2686202 3590521 3916932 4029303 4042104 5372404 7181042 7833864 8058606 10744808 10771563 14362084 14774111 16117212 21543126 28724168 29548222 32234424 43086252 44322333 59096444 81929161 86172504 88644666 118192888 163858322 177289332 245787483 327716644 354578664 491574966 655433288 901220771 983149932 1802441542 1966299864 2703662313 3604883084 5407324626 7209766168 10814649252 21629298504