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4645653152 = 257218116369
BaseRepresentation
bin1000101001110011…
…10000101010100000
3102222202121122001212
410110321300222200
534003241400102
62044552245252
7223060254200
oct42471605240
912882548055
104645653152
111a74393a78
12a979a0828
13590612cba
14320dc2400
151c2caec52
hex114e70aa0

4645653152 has 72 divisors (see below), whose sum is σ = 10698809940. Its totient is φ = 1979873280.

The previous prime is 4645653143. The next prime is 4645653161. The reversal of 4645653152 is 2513565464.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4645653143) and next prime (4645653161).

It can be written as a sum of positive squares in 2 ways, for example, as 3818745616 + 826907536 = 61796^2 + 28756^2 .

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 11 ways as a sum of consecutive naturals, for example, 275624 + ... + 291992.

Almost surely, 24645653152 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 4645653152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349404970).

4645653152 is an abundant number, since it is smaller than the sum of its proper divisors (6053156788).

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

4645653152 is a wasteful number, since it uses less digits than its factorization.

4645653152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16574 (or 16559 counting only the distinct ones).

The product of its digits is 432000, while the sum is 41.

The square root of 4645653152 is about 68159.0283968309. The cubic root of 4645653152 is about 1668.5872752585.

The spelling of 4645653152 in words is "four billion, six hundred forty-five million, six hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 181 196 224 362 392 724 784 1267 1448 1568 2534 2896 5068 5792 8869 10136 16369 17738 20272 32738 35476 40544 65476 70952 114583 130952 141904 229166 261904 283808 458332 523808 802081 916664 1604162 1833328 2962789 3208324 3666656 5925578 6416648 11851156 12833296 20739523 23702312 25666592 41479046 47404624 82958092 94809248 145176661 165916184 290353322 331832368 580706644 663664736 1161413288 2322826576 4645653152