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379642157349 = 37135992321587
BaseRepresentation
bin1011000011001000110…
…11111001100100100101
31100021220220200210220120
411201210123321210211
522210001343013344
6450223304552153
736266613044040
oct5414433714445
91307826623816
10379642157349
11137007111954
12616b1482659
1329a52a928c0
141453656bc57
159d1e545219
hex58646f9925

379642157349 has 32 divisors (see below), whose sum is σ = 624042854400. Its totient is φ = 199916413632.

The previous prime is 379642157309. The next prime is 379642157351. The reversal of 379642157349 is 943751246973.

It is a happy number.

It is not a de Polignac number, because 379642157349 - 28 = 379642157093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 379642157292 and 379642157301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379642157309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 997267 + ... + 1324320.

It is an arithmetic number, because the mean of its divisors is an integer number (19501339200).

Almost surely, 2379642157349 is an apocalyptic number.

379642157349 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

379642157349 is a deficient number, since it is larger than the sum of its proper divisors (244400697051).

379642157349 is a wasteful number, since it uses less digits than its factorization.

379642157349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322209.

The product of its digits is 34292160, while the sum is 60.

The spelling of 379642157349 in words is "three hundred seventy-nine billion, six hundred forty-two million, one hundred fifty-seven thousand, three hundred forty-nine".

Divisors: 1 3 7 13 21 39 91 273 599 1797 4193 7787 12579 23361 54509 163527 2321587 6964761 16251109 30180631 48753327 90541893 211264417 633793251 1390630613 4171891839 9734414291 18078197969 29203242873 54234593907 126547385783 379642157349