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21245740776 = 233513840683
BaseRepresentation
bin10011110010010110…
…000100011011101000
32000211122121110100000
4103302112010123220
5322002402201101
613432105543000
71351326550131
oct236226043350
960748543300
1021245740776
119012737557
12414b1a4a60
1320077c5960
141057920c88
158452de486
hex4f25846e8

21245740776 has 96 divisors (see below), whose sum is σ = 64261884960. Its totient is φ = 6537143232.

The previous prime is 21245740753. The next prime is 21245740801. The reversal of 21245740776 is 67704754212.

21245740776 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 574 + 0 + 7 + 76 = 666.

It is a super-2 number, since 2×212457407762 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395070 + ... + 445613.

It is an arithmetic number, because the mean of its divisors is an integer number (669394635).

Almost surely, 221245740776 is an apocalyptic number.

21245740776 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21245740776 is an abundant number, since it is smaller than the sum of its proper divisors (43016144184).

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

21245740776 is a wasteful number, since it uses less digits than its factorization.

21245740776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840717 (or 840701 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 21245740776 in words is "twenty-one billion, two hundred forty-five million, seven hundred forty thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2106 2808 3159 4212 6318 8424 12636 25272 840683 1681366 2522049 3362732 5044098 6725464 7566147 10088196 10928879 15132294 20176392 21857758 22698441 30264588 32786637 43715516 45396882 60529176 65573274 68095323 87431032 90793764 98359911 131146548 136190646 181587528 196719822 204285969 262293096 272381292 295079733 393439644 408571938 544762584 590159466 786879288 817143876 885239199 1180318932 1634287752 1770478398 2360637864 2655717597 3540956796 5311435194 7081913592 10622870388 21245740776