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379642002894 = 233711264712829
BaseRepresentation
bin1011000011001000110…
…11010011110111001110
31100021220220101222001000
411201210123103313032
522210001323043034
6450223301401130
736266611531530
oct5414433236716
91307826358030
10379642002894
11137007016900
12616b14091a6
1329a52a3a4cb
141453652b850
159d1e514599
hex58646d3dce

379642002894 has 192 divisors, whose sum is σ = 1061511091200. Its totient is φ = 98448229440.

The previous prime is 379642002889. The next prime is 379642002953. The reversal of 379642002894 is 498200246973.

379642002894 is a `hidden beast` number, since 379 + 64 + 200 + 2 + 8 + 9 + 4 = 666.

It is a super-2 number, since 2×3796420028942 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 379642002894.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29586072 + ... + 29598900.

It is an arithmetic number, because the mean of its divisors is an integer number (5528703600).

Almost surely, 2379642002894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379642002894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530755545600).

379642002894 is an abundant number, since it is smaller than the sum of its proper divisors (681869088306).

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

379642002894 is a wasteful number, since it uses less digits than its factorization.

379642002894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13516 (or 13499 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 379642002894 in words is "three hundred seventy-nine billion, six hundred forty-two million, two thousand, eight hundred ninety-four".