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21376658970 = 235523393761
BaseRepresentation
bin10011111010001001…
…011110111000011010
32001011202221210100000
4103322021132320122
5322234411041340
613453103553430
71354506413622
oct237211367032
961152853300
1021376658970
11907a626307
124186bbb876
132028973344
14106b07d882
15851a4ed30
hex4fa25ee1a

21376658970 has 96 divisors (see below), whose sum is σ = 57677780160. Its totient is φ = 5696490240.

The previous prime is 21376658951. The next prime is 21376658983. The reversal of 21376658970 is 7985667312.

21376658970 is a `hidden beast` number, since 21 + 37 + 6 + 6 + 589 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 5681890 + ... + 5685650.

It is an arithmetic number, because the mean of its divisors is an integer number (600810210).

Almost surely, 221376658970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21376658970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28838890080).

21376658970 is an abundant number, since it is smaller than the sum of its proper divisors (36301121190).

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

21376658970 is a wasteful number, since it uses less digits than its factorization.

21376658970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6122 (or 6110 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 21376658970 in words is "twenty-one billion, three hundred seventy-six million, six hundred fifty-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2339 2430 3761 4678 7017 7522 11283 11695 14034 18805 21051 22566 23390 33849 35085 37610 42102 56415 63153 67698 70170 101547 105255 112830 126306 169245 189459 203094 210510 304641 315765 338490 378918 507735 568377 609282 631530 913923 947295 1015470 1136754 1523205 1827846 1894590 2841885 3046410 4569615 5683770 8796979 9139230 17593958 26390937 43984895 52781874 79172811 87969790 131954685 158345622 237518433 263909370 395864055 475036866 712555299 791728110 1187592165 1425110598 2137665897 2375184330 3562776495 4275331794 7125552990 10688329485 21376658970