Search a number
-
+
21520107408 = 24319233101273
BaseRepresentation
bin10100000010101100…
…101100011110010000
32001112202212201121010
4110002230230132100
5323033121414113
613515230330520
71361200615632
oct240254543620
961482781533
1021520107408
1191435a3238
124207059a40
13204c5ba187
141082140a52
1585e4381c3
hex502b2c790

21520107408 has 80 divisors (see below), whose sum is σ = 58771327680. Its totient is φ = 6766589952.

The previous prime is 21520107337. The next prime is 21520107409. The reversal of 21520107408 is 80470102512.

It is not an unprimeable number, because it can be changed into a prime (21520107409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161860 + ... + 263132.

It is an arithmetic number, because the mean of its divisors is an integer number (734641596).

Almost surely, 221520107408 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 21520107408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29385663840).

21520107408 is an abundant number, since it is smaller than the sum of its proper divisors (37251220272).

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

21520107408 is a wasteful number, since it uses less digits than its factorization.

21520107408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101536 (or 101530 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The spelling of 21520107408 in words is "twenty-one billion, five hundred twenty million, one hundred seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 233 304 456 466 699 912 932 1398 1864 2796 3728 4427 5592 8854 11184 13281 17708 26562 35416 53124 70832 101273 106248 202546 212496 303819 405092 607638 810184 1215276 1620368 1924187 2430552 3848374 4861104 5772561 7696748 11545122 15393496 23090244 23596609 30786992 46180488 47193218 70789827 92360976 94386436 141579654 188772872 283159308 377545744 448335571 566318616 896671142 1132637232 1345006713 1793342284 2690013426 3586684568 5380026852 7173369136 10760053704 21520107408