Search a number
-
+
20937965490 = 2325132943113127
BaseRepresentation
bin10011011111111111…
…111111111110110010
32000001012110212000100
4103133333333332302
5320340104343430
613341353133230
71340601525111
oct233777777662
960035425010
1020937965490
118974a32412
1240840ba216
131c88b04ac0
141028ac5c78
15828296960
hex4dfffffb2

20937965490 has 384 divisors, whose sum is σ = 63100477440. Its totient is φ = 4779565056.

The previous prime is 20937965467. The next prime is 20937965491. The reversal of 20937965490 is 9456973902.

20937965490 is a `hidden beast` number, since 2 + 0 + 9 + 3 + 7 + 96 + 549 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (20937965491) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 164865807 + ... + 164865933.

It is an arithmetic number, because the mean of its divisors is an integer number (164324160).

Almost surely, 220937965490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20937965490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31550238720).

20937965490 is an abundant number, since it is smaller than the sum of its proper divisors (42162511950).

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

20937965490 is a wasteful number, since it uses less digits than its factorization.

20937965490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 20937965490 in words is "twenty billion, nine hundred thirty-seven million, nine hundred sixty-five thousand, four hundred ninety".