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20072768088 = 23317317920089
BaseRepresentation
bin10010101100011011…
…100010001001011000
31220210220110021022010
4102230123202021120
5312102112034323
613115445025520
71310264466522
oct225433421130
956726407263
1020072768088
11857061083a
123a823b52a0
131b7b7a5389
14d85c28a12
157c7341c93
hex4ac6e2258

20072768088 has 128 divisors (see below), whose sum is σ = 55544832000. Its totient is φ = 6016757760.

The previous prime is 20072768039. The next prime is 20072768117. The reversal of 20072768088 is 88086727002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 989148 + ... + 1009236.

It is an arithmetic number, because the mean of its divisors is an integer number (433944000).

Almost surely, 220072768088 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 20072768088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27772416000).

20072768088 is an abundant number, since it is smaller than the sum of its proper divisors (35472063912).

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

20072768088 is a wasteful number, since it uses less digits than its factorization.

20072768088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20225 (or 20221 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 20072768088 in words is "twenty billion, seventy-two million, seven hundred sixty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 79 93 102 124 136 158 186 204 237 248 316 372 408 474 527 632 744 948 1054 1343 1581 1896 2108 2449 2686 3162 4029 4216 4898 5372 6324 7347 8058 9796 10744 12648 14694 16116 19592 20089 29388 32232 40178 41633 58776 60267 80356 83266 120534 124899 160712 166532 241068 249798 333064 341513 482136 499596 622759 683026 999192 1024539 1245518 1366052 1587031 1868277 2049078 2491036 2732104 3174062 3736554 4098156 4761093 4982072 6348124 7473108 8196312 9522186 10586903 12696248 14946216 19044372 21173806 26979527 31760709 38088744 42347612 49197961 53959054 63521418 80938581 84695224 98395922 107918108 127042836 147593883 161877162 196791844 215836216 254085672 295187766 323754324 393583688 590375532 647508648 836365337 1180751064 1672730674 2509096011 3345461348 5018192022 6690922696 10036384044 20072768088