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21531200432 = 2473719326921
BaseRepresentation
bin10100000011010111…
…000000101110110000
32001120112202022100212
4110003113000232300
5323043441403212
613520304203252
71361364120050
oct240327005660
961515668325
1021531200432
11914988a625
12420a909528
1320519a23b1
1410837cb560
158603c9e22
hex5035c0bb0

21531200432 has 80 divisors (see below), whose sum is σ = 49220308032. Its totient is φ = 8931409920.

The previous prime is 21531200419. The next prime is 21531200437. The reversal of 21531200432 is 23400213512.

It is a junction number, because it is equal to n+sod(n) for n = 21531200398 and 21531200407.

It is not an unprimeable number, because it can be changed into a prime (21531200437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786332 + ... + 813252.

Almost surely, 221531200432 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 21531200432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24610154016).

21531200432 is an abundant number, since it is smaller than the sum of its proper divisors (27689107600).

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

21531200432 is a wasteful number, since it uses less digits than its factorization.

21531200432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27166 (or 27160 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 21531200432 its reverse (23400213512), we get a palindrome (44931413944).

The spelling of 21531200432 in words is "twenty-one billion, five hundred thirty-one million, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 193 259 296 386 518 592 772 1036 1351 1544 2072 2702 3088 4144 5404 7141 10808 14282 21616 26921 28564 49987 53842 57128 99974 107684 114256 188447 199948 215368 376894 399896 430736 753788 799792 996077 1507576 1992154 3015152 3984308 5195753 6972539 7968616 10391506 13945078 15937232 20783012 27890156 36370271 41566024 55780312 72740542 83132048 111560624 145481084 192242861 290962168 384485722 581924336 768971444 1345700027 1537942888 2691400054 3075885776 5382800108 10765600216 21531200432