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21746979696 = 24313377911923
BaseRepresentation
bin10100010000001110…
…001001001101110000
32002010120210000212110
4110100032021031300
5324014211322241
613553533125320
71366624164111
oct242016111560
962116700773
1021746979696
11924a66a7a2
12426b029840
1320875c2930
1410a431a208
158742ee816
hex510389370

21746979696 has 160 divisors (see below), whose sum is σ = 62928194560. Its totient is φ = 6427579392.

The previous prime is 21746979677. The next prime is 21746979697. The reversal of 21746979696 is 69697964712.

It is a super-2 number, since 2×217469796962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21746979697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1817991 + ... + 1829913.

It is an arithmetic number, because the mean of its divisors is an integer number (393301216).

Almost surely, 221746979696 is an apocalyptic number.

21746979696 is a gapful number since it is divisible by the number (26) 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 21746979696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31464097280).

21746979696 is an abundant number, since it is smaller than the sum of its proper divisors (41181214864).

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

21746979696 is a wasteful number, since it uses less digits than its factorization.

21746979696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12063 (or 12057 counting only the distinct ones).

The product of its digits is 61725888, while the sum is 66.

The spelling of 21746979696 in words is "twenty-one billion, seven hundred forty-six million, nine hundred seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 79 104 111 148 156 158 208 222 237 296 312 316 444 474 481 592 624 632 888 948 962 1027 1264 1443 1776 1896 1924 2054 2886 2923 3081 3792 3848 4108 5772 5846 6162 7696 8216 8769 11544 11692 11923 12324 16432 17538 23088 23384 23846 24648 35076 35769 37999 46768 47692 49296 70152 71538 75998 95384 113997 140304 143076 151996 154999 190768 227994 286152 303992 309998 441151 455988 464997 572304 607984 619996 882302 911976 929994 941917 1239992 1323453 1764604 1823952 1859988 1883834 2479984 2646906 2825751 3529208 3719976 3767668 5293812 5651502 5734963 7058416 7439952 7535336 10587624 11303004 11469926 12244921 15070672 17204889 21175248 22606008 22939852 24489842 34409778 34850929 36734763 45212016 45879704 48979684 68819556 69701858 73469526 91759408 97959368 104552787 137639112 139403716 146939052 195918736 209105574 275278224 278807432 293878104 418211148 453062077 557614864 587756208 836422296 906124154 1359186231 1672844592 1812248308 2718372462 3624496616 5436744924 7248993232 10873489848 21746979696