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21948694242684 = 22311317515236937
BaseRepresentation
bin1001111110110010101000…
…00111111010010101111100
32212201021102020110211200220
410333121110013322111330
510334101411211231214
6114403031350421340
74423512050544366
oct477312407722574
985637366424626
1021948694242684
116aa2430775aa0
122565979361850
13c329a3405a11
1455c472bdbd36
15280e08a429a9
hex13f6541fa57c

21948694242684 has 48 divisors (see below), whose sum is σ = 55871173806336. Its totient is φ = 6650908720000.

The previous prime is 21948694242641. The next prime is 21948694242703. The reversal of 21948694242684 is 48624249684912.

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, 1572664 + ... + 6809600.

It is an arithmetic number, because the mean of its divisors is an integer number (1163982787632).

Almost surely, 221948694242684 is an apocalyptic number.

It is an amenable number.

21948694242684 is an abundant number, since it is smaller than the sum of its proper divisors (33922479563652).

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

21948694242684 is a wasteful number, since it uses less digits than its factorization.

21948694242684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268706 (or 5268704 counting only the distinct ones).

The product of its digits is 382205952, while the sum is 69.

The spelling of 21948694242684 in words is "twenty-one trillion, nine hundred forty-eight billion, six hundred ninety-four million, two hundred forty-two thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 31751 63502 95253 127004 190506 349261 381012 698522 1047783 1397044 2095566 4191132 5236937 10473874 15710811 20947748 31421622 57606307 62843244 115212614 172818921 230425228 345637842 691275684 166277986687 332555973374 498833960061 665111946748 997667920122 1829057853557 1995335840244 3658115707114 5487173560671 7316231414228 10974347121342 21948694242684