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20992073004 = 223271492712063
BaseRepresentation
bin10011100011001110…
…011001110100101100
32000011222021210120100
4103203032121310230
5320442432314004
613351004551100
71342126451010
oct234316316454
960158253510
1020992073004
1189a2529171
12409a252490
131c9709a996
141031d6c540
1582cdd3739
hex4e3399d2c

20992073004 has 144 divisors (see below), whose sum is σ = 61305753600. Its totient is φ = 5932621440.

The previous prime is 20992072987. The next prime is 20992073009. The reversal of 20992073004 is 40037029902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20992073004.

It is not an unprimeable number, because it can be changed into a prime (20992073009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10174477 + ... + 10176539.

It is an arithmetic number, because the mean of its divisors is an integer number (425734400).

Almost surely, 220992073004 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 20992073004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30652876800).

20992073004 is an abundant number, since it is smaller than the sum of its proper divisors (40313680596).

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

20992073004 is a wasteful number, since it uses less digits than its factorization.

20992073004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 20992073004 in words is "twenty billion, nine hundred ninety-two million, seventy-three thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 149 252 271 298 447 542 596 813 894 1043 1084 1341 1626 1788 1897 2063 2086 2439 2682 3129 3252 3794 4126 4172 4878 5364 5691 6189 6258 7588 8252 9387 9756 11382 12378 12516 14441 17073 18567 18774 22764 24756 28882 34146 37134 37548 40379 43323 57764 68292 74268 80758 86646 121137 129969 161516 173292 242274 259938 282653 307387 363411 484548 519876 559073 565306 614774 726822 847959 922161 1118146 1130612 1229548 1453644 1677219 1695918 1844322 2151709 2236292 2543877 2766483 3354438 3391836 3688644 3913511 4303418 5031657 5087754 5532966 6455127 6708876 7827022 8606836 10063314 10175508 11065932 11740533 12910254 15654044 19365381 20126628 23481066 25820508 35221599 38730762 46962132 70443198 77461524 83301877 140886396 166603754 249905631 333207508 499811262 583113139 749716893 999622524 1166226278 1499433786 1749339417 2332452556 2998867572 3498678834 5248018251 6997357668 10496036502 20992073004