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21946442076 = 22331321517963
BaseRepresentation
bin10100011100000111…
…000010000101011100
32002122111002202211000
4110130013002011130
5324421242121301
614025420230300
71404565452066
oct243407020534
962574082730
1021946442076
119342215839
12430599b390
1320b9a1c300
1410c29dc736
15886a9e786
hex51c1c215c

21946442076 has 144 divisors (see below), whose sum is σ = 62027454720. Its totient is φ = 6707188800.

The previous prime is 21946442069. The next prime is 21946442083. The reversal of 21946442076 is 67024464912.

21946442076 is a `hidden beast` number, since 219 + 4 + 6 + 4 + 420 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (21946442069) and next prime (21946442083).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2752071 + ... + 2760033.

Almost surely, 221946442076 is an apocalyptic number.

21946442076 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 21946442076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31013727360).

21946442076 is an abundant number, since it is smaller than the sum of its proper divisors (40081012644).

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

21946442076 is a wasteful number, since it uses less digits than its factorization.

21946442076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8153 (or 8132 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 21946442076 in words is "twenty-one billion, nine hundred forty-six million, four hundred forty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 151 156 169 234 302 338 351 453 468 507 604 676 702 906 1014 1359 1404 1521 1812 1963 2028 2718 3042 3926 4077 4563 5436 5889 6084 7852 7963 8154 9126 11778 15926 16308 17667 18252 23556 23889 25519 31852 35334 47778 51038 53001 70668 71667 76557 95556 102076 103519 106002 143334 153114 207038 212004 215001 229671 286668 306228 310557 414076 430002 459342 621114 689013 860004 918684 931671 1202413 1242228 1345747 1378026 1863342 2404826 2691494 2756052 2795013 3607239 3726684 4037241 4809652 5382988 5590026 7214478 8074482 10821717 11180052 12111723 14428956 15631369 16148964 21643434 24223446 31262738 32465151 36335169 43286868 46894107 48446892 62525476 64930302 72670338 93788214 129860604 140682321 145340676 187576428 203207797 281364642 406415594 422046963 562729284 609623391 812831188 844093926 1219246782 1688187852 1828870173 2438493564 3657740346 5486610519 7315480692 10973221038 21946442076