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21315220776 = 23323765312253
BaseRepresentation
bin10011110110011111…
…000111010100101000
32001000111100101222100
4103312133013110220
5322123144031101
613443031053400
71353132246543
oct236637072450
961014311870
1021315220776
119048982943
12416a511260
132019011895
141062c4985a
1584b465e86
hex4f67c7528

21315220776 has 96 divisors (see below), whose sum is σ = 59384599560. Its totient is φ = 6901894656.

The previous prime is 21315220769. The next prime is 21315220783. The reversal of 21315220776 is 67702251312.

It is an interprime number because it is at equal distance from previous prime (21315220769) and next prime (21315220783).

It can be written as a sum of positive squares in 4 ways, for example, as 19301544900 + 2013675876 = 138930^2 + 44874^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21315220776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1733466 + ... + 1745718.

Almost surely, 221315220776 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 21315220776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29692299780).

21315220776 is an abundant number, since it is smaller than the sum of its proper divisors (38069378784).

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

21315220776 is a wasteful number, since it uses less digits than its factorization.

21315220776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12955 (or 12948 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 21315220776 in words is "twenty-one billion, three hundred fifteen million, two hundred twenty thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 653 666 888 1306 1332 1959 2612 2664 3918 5224 5877 7836 11754 12253 15672 23508 24161 24506 36759 47016 48322 49012 72483 73518 96644 98024 110277 144966 147036 193288 217449 220554 289932 294072 434898 441108 453361 579864 869796 882216 906722 1360083 1739592 1813444 2720166 3626888 4080249 5440332 8001209 8160498 10880664 16002418 16320996 24003627 32004836 32641992 48007254 64009672 72010881 96014508 144021762 192029016 288043524 296044733 576087048 592089466 888134199 1184178932 1776268398 2368357864 2664402597 3552536796 5328805194 7105073592 10657610388 21315220776