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20501296004 = 2272793833457
BaseRepresentation
bin10011000101111110…
…001111001110000100
31221220202210202002102
4103011332033032010
5313441312433004
613230153531232
71324020066200
oct230576171604
957822722072
1020501296004
1187704a1142
123b81a13b18
131c194c48a7
14dc6ad7b00
157eec8d11e
hex4c5f8f384

20501296004 has 72 divisors (see below), whose sum is σ = 42385674240. Its totient is φ = 8649897984.

The previous prime is 20501295953. The next prime is 20501296007. The reversal of 20501296004 is 40069210502.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20501296007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5928644 + ... + 5932100.

It is an arithmetic number, because the mean of its divisors is an integer number (588689920).

Almost surely, 220501296004 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 20501296004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21192837120).

20501296004 is an abundant number, since it is smaller than the sum of its proper divisors (21884378236).

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

20501296004 is a wasteful number, since it uses less digits than its factorization.

20501296004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 20501296004 in words is "twenty billion, five hundred one million, two hundred ninety-six thousand, four".

Divisors: 1 2 4 7 14 28 49 79 98 158 196 316 383 553 766 1106 1532 2212 2681 3457 3871 5362 6914 7742 10724 13828 15484 18767 24199 30257 37534 48398 60514 75068 96796 121028 169393 211799 273103 338786 423598 546206 677572 847196 1092412 1324031 1482593 1911721 2648062 2965186 3823442 5296124 5930372 7646884 9268217 13382047 18536434 26764094 37072868 53528188 64877519 104598449 129755038 209196898 259510076 418393796 732189143 1464378286 2928756572 5125324001 10250648002 20501296004