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20724860328 = 23343193104053
BaseRepresentation
bin10011010011010011…
…000100010110101000
31222111100110222200120
4103103103010112220
5314421031012303
613304301403240
71332403256214
oct232323042650
958440428616
1020724860328
118875709347
124024869520
131c5390c783
141008691944
158146ee553
hex4d34c45a8

20724860328 has 64 divisors (see below), whose sum is σ = 53292296640. Its totient is φ = 6712602624.

The previous prime is 20724860279. The next prime is 20724860399. The reversal of 20724860328 is 82306842702.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20724860328.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147150 + ... + 251202.

It is an arithmetic number, because the mean of its divisors is an integer number (832692135).

Almost surely, 220724860328 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 20724860328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26646148320).

20724860328 is an abundant number, since it is smaller than the sum of its proper divisors (32567436312).

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

20724860328 is a wasteful number, since it uses less digits than its factorization.

20724860328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104298 (or 104294 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 20724860328 in words is "twenty billion, seven hundred twenty-four million, eight hundred sixty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 193 258 344 386 516 579 772 1032 1158 1544 2316 4632 8299 16598 24897 33196 49794 66392 99588 104053 199176 208106 312159 416212 624318 832424 1248636 2497272 4474279 8948558 13422837 17897116 20082229 26845674 35794232 40164458 53691348 60246687 80328916 107382696 120493374 160657832 240986748 481973496 863535847 1727071694 2590607541 3454143388 5181215082 6908286776 10362430164 20724860328