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4645759014 = 232131731101373
BaseRepresentation
bin1000101001110100…
…01010100000100110
3102222202211000021200
410110322022200212
534003303242024
62044554423330
7223061204631
oct42472124046
912882730250
104645759014
111a74456566
12a97a31b46
1359064c240
1432100cc18
151c2cd12c9
hex114e8a826

4645759014 has 192 divisors, whose sum is σ = 11997393408. Its totient is φ = 1285632000.

The previous prime is 4645759009. The next prime is 4645759033. The reversal of 4645759014 is 4109575464.

4645759014 is a `hidden beast` number, since 4 + 6 + 4 + 57 + 590 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12454932 + ... + 12455304.

It is an arithmetic number, because the mean of its divisors is an integer number (62486424).

Almost surely, 24645759014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4645759014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998696704).

4645759014 is an abundant number, since it is smaller than the sum of its proper divisors (7351634394).

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

4645759014 is a wasteful number, since it uses less digits than its factorization.

4645759014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 4645759014 is about 68159.8049733125. The cubic root of 4645759014 is about 1668.5999493748.

The spelling of 4645759014 in words is "four billion, six hundred forty-five million, seven hundred fifty-nine thousand, fourteen".