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381947872383 = 32711673818947
BaseRepresentation
bin1011000111011011101…
…11100000010001111111
31100111212121022021022200
411203231313200101333
522224212123404013
6451244152242543
736411011230230
oct5435567402177
91314777267280
10381947872383
11137a8a686770
12620356a0453
132a02c68911c
14146b4887087
159e06b94e73
hex58edde047f

381947872383 has 48 divisors (see below), whose sum is σ = 688859748096. Its totient is φ = 198119416320.

The previous prime is 381947872373. The next prime is 381947872409. The reversal of 381947872383 is 383278749183.

381947872383 is a `hidden beast` number, since 3 + 8 + 19 + 478 + 72 + 3 + 83 = 666.

It is not a de Polignac number, because 381947872383 - 29 = 381947871871 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 381947872383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381947872363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56916 + ... + 875862.

It is an arithmetic number, because the mean of its divisors is an integer number (14351244752).

Almost surely, 2381947872383 is an apocalyptic number.

381947872383 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

381947872383 is a deficient number, since it is larger than the sum of its proper divisors (306911875713).

381947872383 is a wasteful number, since it uses less digits than its factorization.

381947872383 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819644 (or 819641 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 381947872383 in words is "three hundred eighty-one billion, nine hundred forty-seven million, eight hundred seventy-two thousand, three hundred eighty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 673 693 2019 4711 6057 7403 14133 22209 42399 51821 66627 155463 466389 818947 2456841 5732629 7370523 9008417 17197887 27025251 51593661 63058919 81075753 189176757 551151331 567530271 1653453993 3858059317 4960361979 6062664641 11574177951 18187993923 34722533853 42438652487 54563981769 127315957461 381947872383