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21457264136 = 237111717911447
BaseRepresentation
bin10011111110111100…
…111101111000001000
32001101101121221211112
4103332330331320020
5322421024423021
613505103345452
71356505510250
oct237674757010
961341557745
1021457264136
119111080150
1241a9bb2288
13203c585cc9
141077a62960
15858b72d5b
hex4fef3de08

21457264136 has 128 divisors (see below), whose sum is σ = 53411788800. Its totient is φ = 7823569920.

The previous prime is 21457264123. The next prime is 21457264177. The reversal of 21457264136 is 63146275412.

It is a junction number, because it is equal to n+sod(n) for n = 21457264093 and 21457264102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1868765 + ... + 1880211.

It is an arithmetic number, because the mean of its divisors is an integer number (417279600).

Almost surely, 221457264136 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 21457264136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26705894400).

21457264136 is an abundant number, since it is smaller than the sum of its proper divisors (31954524664).

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

21457264136 is a wasteful number, since it uses less digits than its factorization.

21457264136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11667 (or 11663 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The spelling of 21457264136 in words is "twenty-one billion, four hundred fifty-seven million, two hundred sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 179 187 238 308 358 374 476 616 716 748 952 1253 1309 1432 1496 1969 2506 2618 3043 3938 5012 5236 6086 7876 10024 10472 11447 12172 13783 15752 21301 22894 24344 27566 33473 42602 45788 55132 66946 80129 85204 91576 110264 125917 133892 160258 170408 194599 234311 251834 267784 320516 389198 468622 503668 641032 778396 881419 937244 1007336 1362193 1556792 1762838 1874488 2049013 2140589 2724386 3525676 4098026 4281178 5448772 7051352 8196052 8562356 10897544 14343091 14984123 16392104 17124712 22539143 28686182 29968246 34833221 45078286 57372364 59936492 69666442 90156572 114744728 119872984 139332884 157774001 180313144 243832547 278665768 315548002 383165431 487665094 631096004 766330862 975330188 1262192008 1532661724 1950660376 2682158017 3065323448 5364316034 10728632068 21457264136