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20451573632 = 277142915973
BaseRepresentation
bin10011000011000000…
…100011111110000000
31221210022020120211002
4103003000203332000
5313341100324012
613221220111132
71322544336050
oct230300437600
957708216732
1020451573632
11874541aa76
123b692354a8
131c0c105979
14dc0273560
157ea71a7c2
hex4c3023f80

20451573632 has 64 divisors (see below), whose sum is σ = 46599352800. Its totient is φ = 8758278144.

The previous prime is 20451573617. The next prime is 20451573689. The reversal of 20451573632 is 23637515402.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1272398 + ... + 1288370.

Almost surely, 220451573632 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 20451573632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23299676400).

20451573632 is an abundant number, since it is smaller than the sum of its proper divisors (26147779168).

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

20451573632 is a wasteful number, since it uses less digits than its factorization.

20451573632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17423 (or 17411 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 38.

The spelling of 20451573632 in words is "twenty billion, four hundred fifty-one million, five hundred seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1429 2858 5716 10003 11432 15973 20006 22864 31946 40012 45728 63892 80024 91456 111811 127784 160048 182912 223622 255568 320096 447244 511136 640192 894488 1022272 1280384 1788976 2044544 3577952 7155904 14311808 22825417 45650834 91301668 159777919 182603336 319555838 365206672 639111676 730413344 1278223352 1460826688 2556446704 2921653376 5112893408 10225786816 20451573632