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5032135314 = 2331078531021
BaseRepresentation
bin1001010111111000…
…00100101010010010
3110222200211221221000
410223330010222102
540301211312224
62151200042430
7235462305303
oct45374045222
913880757830
105032135314
112152566818
12b85303416
1362270077b
1435a4687aa
151e6ba30c9
hex12bf04a92

5032135314 has 64 divisors (see below), whose sum is σ = 11311332480. Its totient is φ = 1658128320.

The previous prime is 5032135307. The next prime is 5032135333. The reversal of 5032135314 is 4135312305.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4928124 + ... + 4929144.

It is an arithmetic number, because the mean of its divisors is an integer number (176739570).

Almost surely, 25032135314 is an apocalyptic number.

5032135314 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5032135314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655666240).

5032135314 is an abundant number, since it is smaller than the sum of its proper divisors (6279197166).

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

5032135314 is a wasteful number, since it uses less digits than its factorization.

5032135314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5032135314 is about 70937.5451647433. The cubic root of 5032135314 is about 1713.6315005998.

Adding to 5032135314 its reverse (4135312305), we get a palindrome (9167447619).

The spelling of 5032135314 in words is "five billion, thirty-two million, one hundred thirty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 853 963 1021 1706 1926 2042 2559 2889 3063 5118 5778 6126 7677 9189 15354 18378 23031 27567 46062 55134 91271 109247 182542 218494 273813 327741 547626 655482 821439 870913 983223 1642878 1741826 1966446 2464317 2612739 2949669 4928634 5225478 5899338 7838217 15676434 23514651 47029302 93187691 186375382 279563073 559126146 838689219 1677378438 2516067657 5032135314