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20761131904 = 271996171321
BaseRepresentation
bin10011010101011101…
…011011101110000000
31222120212201202221021
4103111131123232000
5320004322210104
613312035035224
71333323465232
oct232535335600
958525652837
1020761131904
118894132757
124034a3bb14
131c5b29c246
14100d414252
158179b6754
hex4d575bb80

20761131904 has 64 divisors (see below), whose sum is σ = 41666796000. Its totient is φ = 10303856640.

The previous prime is 20761131899. The next prime is 20761131967. The reversal of 20761131904 is 40913116702.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 20761131904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15715564 + ... + 15716884.

Almost surely, 220761131904 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 20761131904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20833398000).

20761131904 is an abundant number, since it is smaller than the sum of its proper divisors (20905664096).

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

20761131904 is a wasteful number, since it uses less digits than its factorization.

20761131904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 20761131904 in words is "twenty billion, seven hundred sixty-one million, one hundred thirty-one thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 128 199 398 617 796 1234 1321 1592 2468 2642 3184 4936 5284 6368 9872 10568 12736 19744 21136 25472 39488 42272 78976 84544 122783 169088 245566 262879 491132 525758 815057 982264 1051516 1630114 1964528 2103032 3260228 3929056 4206064 6520456 7858112 8412128 13040912 15716224 16824256 26081824 33648512 52163648 104327296 162196343 324392686 648785372 1297570744 2595141488 5190282976 10380565952 20761131904