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12031632040 = 2354118114051
BaseRepresentation
bin10110011010010010…
…00010001010101000
31011001111122020100111
423031021002022220
5144120044211130
65305515344104
7604104120301
oct131511021250
934044566314
1012031632040
1151145a725a
1223b9452034
13119988b5cc
14821cd37a8
154a641d02a
hex2cd2422a8

12031632040 has 64 divisors (see below), whose sum is σ = 27753606720. Its totient is φ = 4691520000.

The previous prime is 12031632031. The next prime is 12031632079. The reversal of 12031632040 is 4023613021.

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 15 ways as a sum of consecutive naturals, for example, 2968015 + ... + 2972065.

It is an arithmetic number, because the mean of its divisors is an integer number (433650105).

Almost surely, 212031632040 is an apocalyptic number.

12031632040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12031632040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13876803360).

12031632040 is an abundant number, since it is smaller than the sum of its proper divisors (15721974680).

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

12031632040 is a wasteful number, since it uses less digits than its factorization.

12031632040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914 (or 5910 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The spelling of 12031632040 in words is "twelve billion, thirty-one million, six hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 1811 3622 4051 7244 8102 9055 14488 16204 18110 20255 32408 36220 40510 72440 74251 81020 148502 162040 166091 297004 332182 371255 594008 664364 742510 830455 1328728 1485020 1660910 2970040 3321820 6643640 7336361 14672722 29345444 36681805 58690888 73363610 146727220 293454440 300790801 601581602 1203163204 1503954005 2406326408 3007908010 6015816020 12031632040