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4645900823382 = 23372131193113213
BaseRepresentation
bin100001110011011010101…
…0001001010101101010110
3121110010212211001011212000
41003212311101022231112
51102104301102322012
613514144122140130
7656440516264500
oct103466521125526
917403784034760
104645900823382
111531351995145
126304a6951646
1327915018b460
14120c11744d70
1580cb58a6ddc
hex439b544ab56

4645900823382 has 192 divisors, whose sum is σ = 12944598932160. Its totient is φ = 1224254642688.

The previous prime is 4645900823371. The next prime is 4645900823419. The reversal of 4645900823382 is 2833280095464.

4645900823382 is a `hidden beast` number, since 4 + 6 + 459 + 0 + 0 + 82 + 33 + 82 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40980208 + ... + 41093420.

It is an arithmetic number, because the mean of its divisors is an integer number (67419786105).

Almost surely, 24645900823382 is an apocalyptic number.

4645900823382 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4645900823382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472299466080).

4645900823382 is an abundant number, since it is smaller than the sum of its proper divisors (8298698108778).

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

4645900823382 is a wasteful number, since it uses less digits than its factorization.

4645900823382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114444 (or 114431 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 4645900823382 in words is "four trillion, six hundred forty-five billion, nine hundred million, eight hundred twenty-three thousand, three hundred eighty-two".