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379134507906 = 2327111072556503
BaseRepresentation
bin1011000010001100010…
…11010111101110000010
31100020121112110112210100
411201012023113232002
522202431413223111
6450101052143230
736251210100360
oct5410613275602
91306545415710
10379134507906
11136876600360
126158b467b16
13299a185cb0b
14144c8d84630
159cdebba756
hex58462d7b82

379134507906 has 96 divisors (see below), whose sum is σ = 1033727505408. Its totient is φ = 97556116320.

The previous prime is 379134507883. The next prime is 379134507923. The reversal of 379134507906 is 609705431973.

It is a happy number.

379134507906 is a `hidden beast` number, since 37 + 9 + 13 + 4 + 507 + 90 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1129950 + ... + 1426553.

It is an arithmetic number, because the mean of its divisors is an integer number (10767994848).

Almost surely, 2379134507906 is an apocalyptic number.

379134507906 is an abundant number, since it is smaller than the sum of its proper divisors (654592997502).

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

379134507906 is a wasteful number, since it uses less digits than its factorization.

379134507906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556636 (or 2556633 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 379134507906 in words is "three hundred seventy-nine billion, one hundred thirty-four million, five hundred seven thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 107 126 154 198 214 231 321 462 642 693 749 963 1177 1386 1498 1926 2247 2354 3531 4494 6741 7062 8239 10593 13482 16478 21186 24717 49434 74151 148302 2556503 5113006 7669509 15339018 17895521 23008527 28121533 35791042 46017054 53686563 56243066 84364599 107373126 161059689 168729198 196850731 253093797 273545821 322119378 393701462 506187594 547091642 590552193 820637463 1181104386 1641274926 1771656579 1914820747 2461912389 3009004031 3543313158 3829641494 4923824778 5744462241 6018008062 9027012093 11488924482 17233386723 18054024186 21063028217 27081036279 34466773446 42126056434 54162072558 63189084651 126378169302 189567253953 379134507906