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21621881148 = 2237616762981
BaseRepresentation
bin10100001000110000…
…111011100100111100
32001210212101100220220
4110020300323210330
5323240200144043
613533303541340
71363544646240
oct241060734474
961725340826
1021621881148
119195a9636a
12423515a850
13206770211a
141091874420
1586833d483
hex508c3b93c

21621881148 has 96 divisors (see below), whose sum is σ = 59479193088. Its totient is φ = 5985619200.

The previous prime is 21621881119. The next prime is 21621881207. The reversal of 21621881148 is 84118812612.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311818 + ... + 374798.

It is an arithmetic number, because the mean of its divisors is an integer number (619574928).

Almost surely, 221621881148 is an apocalyptic number.

21621881148 is a gapful number since it is divisible by the number (28) 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 21621881148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29739596544).

21621881148 is an abundant number, since it is smaller than the sum of its proper divisors (37857311940).

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

21621881148 is a wasteful number, since it uses less digits than its factorization.

21621881148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63123 (or 63121 counting only the distinct ones).

The product of its digits is 49152, while the sum is 42.

The spelling of 21621881148 in words is "twenty-one billion, six hundred twenty-one million, eight hundred eighty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 67 84 122 134 183 201 244 268 366 402 427 469 732 804 854 938 1281 1407 1708 1876 2562 2814 4087 5124 5628 8174 12261 16348 24522 28609 49044 57218 62981 85827 114436 125962 171654 188943 251924 343308 377886 440867 755772 881734 1322601 1763468 2645202 3841841 4219727 5290404 7683682 8439454 11525523 12659181 15367364 16878908 23051046 25318362 26892887 29538089 46102092 50636724 53785774 59076178 80678661 88614267 107571548 118152356 161357322 177228534 257403347 322714644 354457068 514806694 772210041 1029613388 1544420082 1801823429 3088840164 3603646858 5405470287 7207293716 10810940574 21621881148