Search a number
-
+
21346397568 = 273237500807
BaseRepresentation
bin10011111000010110…
…000010110110000000
32001002200000100111100
4103320112002312000
5322204134210233
613450103214400
71353661246146
oct237026026600
961080010440
1021346397568
119064537491
124178a47400
1320226093a2
141067043596
1584e073813
hex4f8582d80

21346397568 has 96 divisors (see below), whose sum is σ = 63086783760. Its totient is φ = 6923142144.

The previous prime is 21346397503. The next prime is 21346397573. The reversal of 21346397568 is 86579364312.

21346397568 is a `hidden beast` number, since 2 + 1 + 3 + 46 + 39 + 7 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×213463975682 (a number of 21 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 11 ways as a sum of consecutive naturals, for example, 207780 + ... + 293027.

Almost surely, 221346397568 is an apocalyptic number.

It is an amenable number.

21346397568 is an abundant number, since it is smaller than the sum of its proper divisors (41740386192).

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

21346397568 is a wasteful number, since it uses less digits than its factorization.

21346397568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500864 (or 500849 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 21346397568 in words is "twenty-one billion, three hundred forty-six million, three hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 576 592 666 888 1152 1184 1332 1776 2368 2664 3552 4736 5328 7104 10656 14208 21312 42624 500807 1001614 1502421 2003228 3004842 4006456 4507263 6009684 8012912 9014526 12019368 16025824 18029052 18529859 24038736 32051648 36058104 37059718 48077472 55589577 64103296 72116208 74119436 96154944 111179154 144232416 148238872 166768731 192309888 222358308 288464832 296477744 333537462 444716616 576929664 592955488 667074924 889433232 1185910976 1334149848 1778866464 2371821952 2668299696 3557732928 5336599392 7115465856 10673198784 21346397568