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21135239460 = 22325176906941
BaseRepresentation
bin10011101011110000…
…100010100100100100
32000112221200102000200
4103223300202210210
5321241110130320
613413121310500
71345515366636
oct235360424444
960487612020
1021135239460
118a66323255
12411a195430
131cba94636a
141046d98a56
1583a763290
hex4ebc22924

21135239460 has 72 divisors (see below), whose sum is σ = 67881425976. Its totient is φ = 5304529920.

The previous prime is 21135239441. The next prime is 21135239473. The reversal of 21135239460 is 6493253112.

21135239460 is a `hidden beast` number, since 2 + 113 + 52 + 39 + 460 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5987045376 + 15148194084 = 77376^2 + 123078^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3450411 + ... + 3456530.

It is an arithmetic number, because the mean of its divisors is an integer number (942797583).

Almost surely, 221135239460 is an apocalyptic number.

21135239460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21135239460 is an abundant number, since it is smaller than the sum of its proper divisors (46746186516).

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

21135239460 is a wasteful number, since it uses less digits than its factorization.

21135239460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6906973 (or 6906968 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 21135239460 in words is "twenty-one billion, one hundred thirty-five million, two hundred thirty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 6906941 13813882 20720823 27627764 34534705 41441646 62162469 69069410 82883292 103604115 117417997 124324938 138138820 207208230 234835994 248649876 310812345 352253991 414416460 469671988 587089985 621624690 704507982 1056761973 1174179970 1243249380 1409015964 1761269955 2113523946 2348359940 3522539910 4227047892 5283809865 7045079820 10567619730 21135239460