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21933409792 = 29721751427
BaseRepresentation
bin10100011011010101…
…010100011000000000
32002121120120122212211
4110123111110120000
5324404423103132
614024233031504
71404346623100
oct243325243000
962546518784
1021933409792
119335924458
124301555594
1320b71084b8
1410c0da9200
15885878147
hex51b554600

21933409792 has 120 divisors (see below), whose sum is σ = 53978725944. Its totient is φ = 8846917632.

The previous prime is 21933409789. The next prime is 21933409807. The reversal of 21933409792 is 29790433912.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 400783 + ... + 452209.

Almost surely, 221933409792 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 21933409792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26989362972).

21933409792 is an abundant number, since it is smaller than the sum of its proper divisors (32045316152).

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

21933409792 is an equidigital number, since it uses as much as digits as its factorization.

21933409792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51476 (or 51453 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 49.

The spelling of 21933409792 in words is "twenty-one billion, nine hundred thirty-three million, four hundred nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 256 272 392 448 476 512 544 784 833 896 952 1088 1568 1666 1792 1904 2176 3136 3332 3584 3808 4352 6272 6664 7616 8704 12544 13328 15232 25088 26656 30464 51427 53312 60928 102854 106624 205708 213248 359989 411416 426496 719978 822832 874259 1439956 1645664 1748518 2519923 2879912 3291328 3497036 5039846 5759824 6119813 6582656 6994072 10079692 11519648 12239626 13165312 13988144 20159384 23039296 24479252 26330624 27976288 40318768 42838691 46078592 48958504 55952576 80637536 85677382 92157184 97917008 111905152 161275072 171354764 184314368 195834016 223810304 322550144 342709528 391668032 447620608 645100288 685419056 783336064 1290200576 1370838112 1566672128 2741676224 3133344256 5483352448 10966704896 21933409792