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21425321632 = 25111314093323
BaseRepresentation
bin10011111101000011…
…000111011010100000
32001022011112002221211
4103331003013122200
5322334340243012
613502002555504
71355640141361
oct237503073240
961264462854
1021425321632
1190a5043290
12419b368b94
132035a80b10
141073709b68
15855e636a7
hex4fd0c76a0

21425321632 has 96 divisors (see below), whose sum is σ = 49605514560. Its totient is φ = 8980561920.

The previous prime is 21425321591. The next prime is 21425321647. The reversal of 21425321632 is 23612352412.

It is a junction number, because it is equal to n+sod(n) for n = 21425321594 and 21425321603.

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, 6445923 + ... + 6449245.

It is an arithmetic number, because the mean of its divisors is an integer number (516724110).

Almost surely, 221425321632 is an apocalyptic number.

21425321632 is a gapful number since it is divisible by the number (22) 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 21425321632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24802757280).

21425321632 is an abundant number, since it is smaller than the sum of its proper divisors (28180192928).

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

21425321632 is a wasteful number, since it uses less digits than its factorization.

21425321632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 4758 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The spelling of 21425321632 in words is "twenty-one billion, four hundred twenty-five million, three hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 1409 2288 2818 3323 4576 5636 6646 11272 13292 15499 18317 22544 26584 30998 36553 36634 43199 45088 53168 61996 73106 73268 86398 106336 123992 146212 146536 172796 201487 247984 292424 293072 345592 402974 475189 495968 584848 586144 691184 805948 950378 1169696 1382368 1611896 1900756 3223792 3801512 4682107 6447584 7603024 9364214 15206048 18728428 37456856 51503177 60867391 74913712 103006354 121734782 149827424 206012708 243469564 412025416 486939128 669541301 824050832 973878256 1339082602 1648101664 1947756512 2678165204 5356330408 10712660816 21425321632