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381788302896 = 2432711132732791
BaseRepresentation
bin1011000111001000101…
…10110010111000110000
31100111110111001022010200
411203210112302320300
522223400301143041
6451220252155200
736404033013120
oct5434426627060
91314414038120
10381788302896
11137a085a8860
1261bb0168b00
132a0055b9600
141469b5cac80
159de7b751b6
hex58e45b2e30

381788302896 has 720 divisors, whose sum is σ = 1462764805632. Its totient is φ = 90251366400.

The previous prime is 381788302891. The next prime is 381788302927. The reversal of 381788302896 is 698203887183.

381788302896 is a `hidden beast` number, since 381 + 78 + 83 + 0 + 28 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (381788302891) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 136791261 + ... + 136794051.

Almost surely, 2381788302896 is an apocalyptic number.

381788302896 is a gapful number since it is divisible by the number (36) 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 381788302896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731382402816).

381788302896 is an abundant number, since it is smaller than the sum of its proper divisors (1080976502736).

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

381788302896 is a wasteful number, since it uses less digits than its factorization.

381788302896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 381788302896 in words is "three hundred eighty-one billion, seven hundred eighty-eight million, three hundred two thousand, eight hundred ninety-six".