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20996000704 = 267734011601
BaseRepresentation
bin10011100011011101…
…011000101111000000
32000012020200100100201
4103203131120233000
5320444434010304
613351225054544
71342205030020
oct234335305700
960166610321
1020996000704
1189a47710a8
12409b627454
131c97b44673
1410326b1a80
1582d40c3a4
hex4e3758bc0

20996000704 has 112 divisors (see below), whose sum is σ = 48418796736. Its totient is φ = 8847360000.

The previous prime is 20996000699. The next prime is 20996000743. The reversal of 20996000704 is 40700069902.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13113504 + ... + 13115104.

Almost surely, 220996000704 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 20996000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24209398368).

20996000704 is an abundant number, since it is smaller than the sum of its proper divisors (27422796032).

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

20996000704 is a wasteful number, since it uses less digits than its factorization.

20996000704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 20996000704 in words is "twenty billion, nine hundred ninety-six million, seven hundred four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 146 224 292 401 448 511 584 802 1022 1168 1601 1604 2044 2336 2807 3202 3208 4088 4672 5614 6404 6416 8176 11207 11228 12808 12832 16352 22414 22456 25616 25664 29273 32704 44828 44912 51232 58546 89656 89824 102464 116873 117092 179312 179648 204911 233746 234184 358624 409822 467492 468368 642001 717248 818111 819644 934984 936736 1284002 1636222 1639288 1869968 1873472 2568004 3272444 3278576 3739936 4494007 5136008 6544888 6557152 7479872 8988014 10272016 13089776 13114304 17976028 20544032 26179552 35952056 41088064 46866073 52359104 71904112 93732146 143808224 187464292 287616448 328062511 374928584 656125022 749857168 1312250044 1499714336 2624500088 2999428672 5249000176 10498000352 20996000704