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381953226912 = 25329433190601
BaseRepresentation
bin1011000111011100010…
…11111011100010100000
31100111212222101022100120
411203232023323202200
522224220011230122
6451244503120240
736411104601135
oct5435613734240
91314788338316
10381953226912
11137a927036a4
1262037443080
132a03081239a
14146b547c58c
159e073a175c
hex58ee2fb8a0

381953226912 has 96 divisors (see below), whose sum is σ = 1061321849280. Its totient is φ = 120068659200.

The previous prime is 381953226911. The next prime is 381953226929. The reversal of 381953226912 is 219622359183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3819532269122 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (381953226911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1475589 + ... + 1715012.

It is an arithmetic number, because the mean of its divisors is an integer number (11055435930).

Almost surely, 2381953226912 is an apocalyptic number.

381953226912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

381953226912 is an abundant number, since it is smaller than the sum of its proper divisors (679368622368).

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

381953226912 is a wasteful number, since it uses less digits than its factorization.

381953226912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190686 (or 3190678 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The spelling of 381953226912 in words is "three hundred eighty-one billion, nine hundred fifty-three million, two hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 43 48 58 86 87 96 116 129 172 174 232 258 344 348 464 516 688 696 928 1032 1247 1376 1392 2064 2494 2784 3741 4128 4988 7482 9976 14964 19952 29928 39904 59856 119712 3190601 6381202 9571803 12762404 19143606 25524808 38287212 51049616 76574424 92527429 102099232 137195843 153148848 185054858 274391686 277582287 306297696 370109716 411587529 548783372 555164574 740219432 823175058 1097566744 1110329148 1480438864 1646350116 2195133488 2220658296 2960877728 3292700232 3978679447 4390266976 4441316592 6585400464 7957358894 8882633184 11936038341 13170800928 15914717788 23872076682 31829435576 47744153364 63658871152 95488306728 127317742304 190976613456 381953226912