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742325343912 = 2333149211109313
BaseRepresentation
bin10101100110101100000…
…10011101011010101000
32121222001221002122102000
422303112002131122220
544130240242001122
61325004120211000
7104426341212435
oct12632602353250
92558057078360
10742325343912
11266900338a69
12bba4b309a60
13550021c9239
1427d0065ab8c
1514499cba0ac
hexacd609d6a8

742325343912 has 128 divisors (see below), whose sum is σ = 2085711120000. Its totient is φ = 244614021120.

The previous prime is 742325343887. The next prime is 742325343923. The reversal of 742325343912 is 219343523247.

742325343912 is a `hidden beast` number, since 7 + 4 + 2 + 3 + 253 + 4 + 391 + 2 = 666.

It is an unprimeable number.

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, 6736168 + ... + 6845480.

It is an arithmetic number, because the mean of its divisors is an integer number (16294618125).

Almost surely, 2742325343912 is an apocalyptic number.

742325343912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742325343912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042855560000).

742325343912 is an abundant number, since it is smaller than the sum of its proper divisors (1343385776088).

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

742325343912 is a wasteful number, since it uses less digits than its factorization.

742325343912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109688 (or 109678 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 742325343912 in words is "seven hundred forty-two billion, three hundred twenty-five million, three hundred forty-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 149 211 216 298 422 447 596 633 844 894 1192 1266 1341 1688 1788 1899 2532 2682 3576 3798 4023 5064 5364 5697 7596 8046 10728 11394 15192 16092 22788 31439 32184 45576 62878 94317 109313 125756 188634 218626 251512 282951 327939 377268 437252 565902 655878 754536 848853 874504 983817 1131804 1311756 1697706 1967634 2263608 2623512 2951451 3395412 3935268 5902902 6790824 7870536 11805804 16287637 23065043 23611608 32575274 46130086 48862911 65150548 69195129 92260172 97725822 130301096 138390258 146588733 184520344 195451644 207585387 276780516 293177466 390903288 415170774 439766199 553561032 586354932 622756161 830341548 879532398 1172709864 1245512322 1660683096 1759064796 2491024644 3436691407 3518129592 4982049288 6873382814 10310074221 13746765628 20620148442 27493531256 30930222663 41240296884 61860445326 82480593768 92790667989 123720890652 185581335978 247441781304 371162671956 742325343912