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21488100504 = 233131719121211
BaseRepresentation
bin10100000000110010…
…100110010010011000
32001110112122121101020
4110000302212102120
5323001423204004
613512124322440
71360331561223
oct240062462230
961415577336
1021488100504
119127521a52
1241b83a3420
132045a91890
14107bbac5ba
1585b7148d9
hex500ca6498

21488100504 has 128 divisors (see below), whose sum is σ = 61579284480. Its totient is φ = 6189926400.

The previous prime is 21488100479. The next prime is 21488100509. The reversal of 21488100504 is 40500188412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21488100509) 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, 1002459 + ... + 1023669.

It is an arithmetic number, because the mean of its divisors is an integer number (481088160).

Almost surely, 221488100504 is an apocalyptic number.

21488100504 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 21488100504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30789642240).

21488100504 is an abundant number, since it is smaller than the sum of its proper divisors (40091183976).

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

21488100504 is a wasteful number, since it uses less digits than its factorization.

21488100504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21441 (or 21437 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

Adding to 21488100504 its reverse (40500188412), we get a palindrome (61988288916).

The spelling of 21488100504 in words is "twenty-one billion, four hundred eighty-eight million, one hundred thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 191 204 221 312 382 408 442 573 663 764 884 1146 1326 1528 1768 2292 2483 2652 3247 4584 4966 5304 6494 7449 9741 9932 12988 14898 19482 19864 21211 25976 29796 38964 42211 42422 59592 63633 77928 84422 84844 126633 127266 168844 169688 253266 254532 275743 337688 360587 506532 509064 551486 721174 827229 1013064 1081761 1102972 1442348 1654458 2163522 2205944 2884696 3308916 4051301 4327044 4687631 6617832 8102602 8654088 9375262 12153903 14062893 16205204 18750524 24307806 28125786 32410408 37501048 48615612 52666913 56251572 68872117 97231224 105333826 112503144 137744234 158000739 206616351 210667652 275488468 316001478 413232702 421335304 550976936 632002956 826465404 895337521 1264005912 1652930808 1790675042 2686012563 3581350084 5372025126 7162700168 10744050252 21488100504