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381354688896 = 2735631763963
BaseRepresentation
bin1011000110010101000…
…00101100000110000000
31100110100021010102112220
411203022200230012000
522222003300021041
6451105242251040
736360216241266
oct5431240540600
91313307112486
10381354688896
11137805864185
1261aaaab6a80
1329c6680908c
1414659b96436
159dbea71d66
hex58ca82c180

381354688896 has 64 divisors (see below), whose sum is σ = 1014773209920. Its totient is φ = 126892370432.

The previous prime is 381354688879. The next prime is 381354688919. The reversal of 381354688896 is 698886453183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 381354688896.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 665790 + ... + 1098173.

It is an arithmetic number, because the mean of its divisors is an integer number (15855831405).

Almost surely, 2381354688896 is an apocalyptic number.

It is an amenable number.

381354688896 is an abundant number, since it is smaller than the sum of its proper divisors (633418521024).

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

381354688896 is a wasteful number, since it uses less digits than its factorization.

381354688896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764543 (or 1764531 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 69.

The spelling of 381354688896 in words is "three hundred eighty-one billion, three hundred fifty-four million, six hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 563 1126 1689 2252 3378 4504 6756 9008 13512 18016 27024 36032 54048 72064 108096 216192 1763963 3527926 5291889 7055852 10583778 14111704 21167556 28223408 42335112 56446816 84670224 112893632 169340448 225787264 338680896 677361792 993111169 1986222338 2979333507 3972444676 5958667014 7944889352 11917334028 15889778704 23834668056 31779557408 47669336112 63559114816 95338672224 127118229632 190677344448 381354688896