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3781320192 = 29331353397
BaseRepresentation
bin1110000101100010…
…0101111000000000
3100202112012222011000
43201120211320000
530221004221232
61423114452000
7162463456056
oct34130457000
910675188130
103781320192
111670502911
12896434000
13483526b90
1427c2ac1d6
15171e7b27c
hexe1625e00

3781320192 has 320 divisors, whose sum is σ = 12312336960. Its totient is φ = 1138655232.

The previous prime is 3781320173. The next prime is 3781320209. The reversal of 3781320192 is 2910231873.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9524538 + ... + 9524934.

It is an arithmetic number, because the mean of its divisors is an integer number (38476053).

Almost surely, 23781320192 is an apocalyptic number.

3781320192 is a gapful number since it is divisible by the number (32) 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 3781320192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156168480).

3781320192 is an abundant number, since it is smaller than the sum of its proper divisors (8531016768).

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

3781320192 is a wasteful number, since it uses less digits than its factorization.

3781320192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3781320192 is about 61492.4401207173. The cubic root of 3781320192 is about 1557.9295610121.

The spelling of 3781320192 in words is "three billion, seven hundred eighty-one million, three hundred twenty thousand, one hundred ninety-two".