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32003000080 = 2457128120051
BaseRepresentation
bin11101110011100001…
…110000011100010000
310001121100021211221021
4131303201300130100
51011020232000310
622411343205224
72212031004142
oct356341603420
9101540254837
1032003000080
111263294a6a7
1262518a6814
13303034cb4c
141798484c92
15c748d05da
hex773870710

32003000080 has 80 divisors (see below), whose sum is σ = 75727260288. Its totient is φ = 12575360000.

The previous prime is 32003000027. The next prime is 32003000111. The reversal of 32003000080 is 8000030023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1586055 + ... + 1606105.

Almost surely, 232003000080 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 32003000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37863630144).

32003000080 is an abundant number, since it is smaller than the sum of its proper divisors (43724260208).

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

32003000080 is a wasteful number, since it uses less digits than its factorization.

32003000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20416 (or 20410 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The spelling of 32003000080 in words is "thirty-two billion, three million, eighty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 281 284 355 562 568 710 1124 1136 1405 1420 2248 2810 2840 4496 5620 5680 11240 19951 20051 22480 39902 40102 79804 80204 99755 100255 159608 160408 199510 200510 319216 320816 399020 401020 798040 802040 1423621 1596080 1604080 2847242 5634331 5694484 7118105 11268662 11388968 14236210 22537324 22777936 28171655 28472420 45074648 56343310 56944840 90149296 112686620 113889680 225373240 400037501 450746480 800075002 1600150004 2000187505 3200300008 4000375010 6400600016 8000750020 16001500040 32003000080