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20958399000 = 23335371117593
BaseRepresentation
bin10011100001001101…
…111100101000011000
32000002121220222112000
4103201031330220120
5320410322232000
613343403121000
71341240311040
oct234115745030
960077828460
1020958399000
118985519410
12408ab13160
131c9010a636
14102b6c4720
15829e81000
hex4e137ca18

20958399000 has 1024 divisors, whose sum is σ = 96074035200. Its totient is φ = 4091904000.

The previous prime is 20958398999. The next prime is 20958399037. The reversal of 20958399000 is 99385902.

20958399000 is a `hidden beast` number, since 209 + 58 + 399 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35342704 + ... + 35343296.

It is an arithmetic number, because the mean of its divisors is an integer number (93822300).

Almost surely, 220958399000 is an apocalyptic number.

20958399000 is a gapful number since it is divisible by the number (20) 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 20958399000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48037017600).

20958399000 is an abundant number, since it is smaller than the sum of its proper divisors (75115636200).

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

20958399000 is a wasteful number, since it uses less digits than its factorization.

20958399000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 20958399000 in words is "twenty billion, nine hundred fifty-eight million, three hundred ninety-nine thousand".