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324427137768 = 233283229237067
BaseRepresentation
bin1001011100010010101…
…11010100001011101000
31011000101212220012022100
410232021113110023220
520303411321402033
6405012331253400
732303415112416
oct4561127241350
91130355805270
10324427137768
11115652730468
1252a61baa260
132479377b796
14119b93a82b6
15868be24513
hex4b895d42e8

324427137768 has 96 divisors (see below), whose sum is σ = 893129983200. Its totient is φ = 106372462464.

The previous prime is 324427137719. The next prime is 324427137787. The reversal of 324427137768 is 867731724423.

324427137768 is a `hidden beast` number, since 3 + 2 + 442 + 7 + 137 + 7 + 68 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1249971 + ... + 1487037.

It is an arithmetic number, because the mean of its divisors is an integer number (9303437325).

Almost surely, 2324427137768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324427137768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446564991600).

324427137768 is an abundant number, since it is smaller than the sum of its proper divisors (568702845432).

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

324427137768 is a wasteful number, since it uses less digits than its factorization.

324427137768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237391 (or 237384 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The spelling of 324427137768 in words is "three hundred twenty-four billion, four hundred twenty-seven million, one hundred thirty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 229 249 332 458 498 664 687 747 916 996 1374 1494 1832 1992 2061 2748 2988 4122 5496 5976 8244 16488 19007 38014 57021 76028 114042 152056 171063 228084 237067 342126 456168 474134 684252 711201 948268 1368504 1422402 1896536 2133603 2844804 4267206 5689608 8534412 17068824 19676561 39353122 54288343 59029683 78706244 108576686 118059366 157412488 162865029 177089049 217153372 236118732 325730058 354178098 434306744 472237464 488595087 651460116 708356196 977190174 1302920232 1416712392 1954380348 3908760696 4505932469 9011864938 13517797407 18023729876 27035594814 36047459752 40553392221 54071189628 81106784442 108142379256 162213568884 324427137768