Search a number
-
+
21260553654640 = 2453110978649577
BaseRepresentation
bin1001101010110000110111…
…01111111001000101110000
32210021111012112112222202211
410311120123233321011300
510241313103213422030
6113114544041421504
74323011224215046
oct465303357710560
983244175488684
1021260553654640
116857606305103
12247453049a894
13bb2b27c48701
1453703299a396
1526d080bda12a
hex13561bbf9170

21260553654640 has 80 divisors (see below), whose sum is σ = 51493451708160. Its totient is φ = 8154388039680.

The previous prime is 21260553654631. The next prime is 21260553654653. The reversal of 21260553654640 is 4645635506212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×212605536546402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39054469 + ... + 39595108.

It is an arithmetic number, because the mean of its divisors is an integer number (643668146352).

Almost surely, 221260553654640 is an apocalyptic number.

21260553654640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21260553654640 is an abundant number, since it is smaller than the sum of its proper divisors (30232898053520).

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

21260553654640 is a wasteful number, since it uses less digits than its factorization.

21260553654640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78649730 (or 78649724 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 49.

The spelling of 21260553654640 in words is "twenty-one trillion, two hundred sixty billion, five hundred fifty-three million, six hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 109 124 155 218 248 310 436 496 545 620 872 1090 1240 1744 2180 2480 3379 4360 6758 8720 13516 16895 27032 33790 54064 67580 135160 270320 78649577 157299154 314598308 393247885 629196616 786495770 1258393232 1572991540 2438136887 3145983080 4876273774 6291966160 8572803893 9752547548 12190684435 17145607786 19505095096 24381368870 34291215572 39010190192 42864019465 48762737740 68582431144 85728038930 97525475480 137164862288 171456077860 195050950960 265756920683 342912155720 531513841366 685824311440 1063027682732 1328784603415 2126055365464 2657569206830 4252110730928 5315138413660 10630276827320 21260553654640