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382545660134946 = 23711828020909383
BaseRepresentation
bin101011011111011000101101…
…0001011101100011000100010
31212011111000012210110100122210
41112332301122023230120202
5400120112002443304241
63433335014500142550
7143402004035001120
oct12676613213543042
91764430183410583
10382545660134946
11100988781224060
1236aa3ab3697a56
131355bb9354c399
146a6744728a910
152e35d55742316
hex15bec5a2ec622

382545660134946 has 32 divisors (see below), whose sum is σ = 953880087610368. Its totient is φ = 99362509125840.

The previous prime is 382545660134921. The next prime is 382545660134993. The reversal of 382545660134946 is 649431066545283.

It is a super-2 number, since 2×3825456601349462 (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414010454230 + ... + 414010455153.

It is an arithmetic number, because the mean of its divisors is an integer number (29808752737824).

Almost surely, 2382545660134946 is an apocalyptic number.

382545660134946 is an abundant number, since it is smaller than the sum of its proper divisors (571334427475422).

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

382545660134946 is a wasteful number, since it uses less digits than its factorization.

382545660134946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828020909406.

The product of its (nonzero) digits is 447897600, while the sum is 66.

The spelling of 382545660134946 in words is "three hundred eighty-two trillion, five hundred forty-five billion, six hundred sixty million, one hundred thirty-four thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 828020909383 1656041818766 2484062728149 4968125456298 5796146365681 9108230003213 11592292731362 17388439097043 18216460006426 27324690009639 34776878194086 54649380019278 63757610022491 127515220044982 191272830067473 382545660134946