Search a number
-
+
21246086592 = 263331396619
BaseRepresentation
bin10011110010010111…
…011000110111000000
32000211200021000201000
4103302113120313000
5322002444232332
613432121212000
71351332520263
oct236227306700
960750230630
1021246086592
119012953355
12414b331000
1320078b7193
1410579b0cda
1584535bb7c
hex4f25d8dc0

21246086592 has 112 divisors (see below), whose sum is σ = 64474547200. Its totient is φ = 6853559040.

The previous prime is 21246086573. The next prime is 21246086629. The reversal of 21246086592 is 29568064212.

21246086592 is a `hidden beast` number, since 2 + 12 + 46 + 0 + 8 + 6 + 592 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144742 + ... + 251877.

It is an arithmetic number, because the mean of its divisors is an integer number (575665600).

Almost surely, 221246086592 is an apocalyptic number.

It is an amenable number.

21246086592 is an abundant number, since it is smaller than the sum of its proper divisors (43228460608).

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

21246086592 is a wasteful number, since it uses less digits than its factorization.

21246086592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396671 (or 396655 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 21246086592 in words is "twenty-one billion, two hundred forty-six million, eighty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2976 3348 4464 5952 6696 8928 13392 17856 26784 53568 396619 793238 1189857 1586476 2379714 3172952 3569571 4759428 6345904 7139142 9518856 10708713 12295189 12691808 14278284 19037712 21417426 24590378 25383616 28556568 36885567 38075424 42834852 49180756 57113136 73771134 76150848 85669704 98361512 110656701 114226272 147542268 171339408 196723024 221313402 228452544 295084536 331970103 342678816 393446048 442626804 590169072 663940206 685357632 786892096 885253608 1180338144 1327880412 1770507216 2360676288 2655760824 3541014432 5311521648 7082028864 10623043296 21246086592