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4020204783672 = 233271143157233461
BaseRepresentation
bin111010100000000110111…
…000001100100000111000
3112020022211222120001120100
4322200012320030200320
51011331334411034142
612314505004355400
7563310264560010
oct72400670144070
915208758501510
104020204783672
11130aa608806a0
1254b186545b60
13232146a43b2c
14dc8168d0c40
156e894bc7b4c
hex3a806e0c838

4020204783672 has 768 divisors, whose sum is σ = 14069330795520. Its totient is φ = 1006890393600.

The previous prime is 4020204783667. The next prime is 4020204783689. The reversal of 4020204783672 is 2763874020204.

4020204783672 is a `hidden beast` number, since 40 + 20 + 20 + 478 + 36 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8720617522 + ... + 8720617982.

It is an arithmetic number, because the mean of its divisors is an integer number (18319441140).

Almost surely, 24020204783672 is an apocalyptic number.

4020204783672 is a gapful number since it is divisible by the number (42) 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 4020204783672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034665397760).

4020204783672 is an abundant number, since it is smaller than the sum of its proper divisors (10049126011848).

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

4020204783672 is a wasteful number, since it uses less digits than its factorization.

4020204783672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 4020204783672 in words is "four trillion, twenty billion, two hundred four million, seven hundred eighty-three thousand, six hundred seventy-two".