Search a number
-
+
21325101984 = 253411037459
BaseRepresentation
bin10011110111000100…
…110011101110100000
32001001011221102110000
4103313010303232200
5322133211230414
613444022540000
71353312242664
oct236704635640
961034842400
1021325101984
11905351182a
124171897600
13201b091354
14106429c8a4
1584c268b09
hex4f7133ba0

21325101984 has 120 divisors (see below), whose sum is σ = 62781808320. Its totient is φ = 7100970624.

The previous prime is 21325101961. The next prime is 21325101997. The reversal of 21325101984 is 48910152312.

21325101984 is a `hidden beast` number, since 2 + 132 + 510 + 1 + 9 + 8 + 4 = 666.

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 19 ways as a sum of consecutive naturals, for example, 2855247 + ... + 2862705.

It is an arithmetic number, because the mean of its divisors is an integer number (523181736).

Almost surely, 221325101984 is an apocalyptic number.

21325101984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21325101984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31390904160).

21325101984 is an abundant number, since it is smaller than the sum of its proper divisors (41456706336).

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

21325101984 is a wasteful number, since it uses less digits than its factorization.

21325101984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8584 (or 8567 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 21325101984 in words is "twenty-one billion, three hundred twenty-five million, one hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1103 1296 2206 2592 3309 4412 6618 7459 8824 9927 13236 14918 17648 19854 22377 26472 29781 29836 35296 39708 44754 52944 59562 59672 67131 79416 89343 89508 105888 119124 119344 134262 158832 178686 179016 201393 238248 238688 268524 317664 357372 358032 402786 476496 537048 604179 714744 716064 805572 952992 1074096 1208358 1429488 1611144 2148192 2416716 2858976 3222288 4833432 6444576 8227277 9666864 16454554 19333728 24681831 32909108 49363662 65818216 74045493 98727324 131636432 148090986 197454648 222136479 263272864 296181972 394909296 444272958 592363944 666409437 789818592 888545916 1184727888 1332818874 1777091832 2369455776 2665637748 3554183664 5331275496 7108367328 10662550992 21325101984