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4045152516 = 22317194872143
BaseRepresentation
bin1111000100011100…
…0010000100000100
3101102220200001001120
43301013002010010
531241024340031
61505221353540
7202146141366
oct36107020404
911386601046
104045152516
111796423a59
1294a8688b0
134c60a0592
142a5348d36
1518a1e3a96
hexf11c2104

4045152516 has 96 divisors (see below), whose sum is σ = 10546421760. Its totient is φ = 1199245824.

The previous prime is 4045152487. The next prime is 4045152547. The reversal of 4045152516 is 6152515404.

It is a super-2 number, since 2×40451525162 = 32726517755402260512, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1886541 + ... + 1888683.

It is an arithmetic number, because the mean of its divisors is an integer number (109858560).

Almost surely, 24045152516 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 4045152516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273210880).

4045152516 is an abundant number, since it is smaller than the sum of its proper divisors (6501269244).

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

4045152516 is a wasteful number, since it uses less digits than its factorization.

4045152516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 4045152516 is about 63601.5134725582. The cubic root of 4045152516 is about 1593.3516467417.

The spelling of 4045152516 in words is "four billion, forty-five million, one hundred fifty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 487 646 969 974 1292 1461 1938 1948 2143 2922 3876 4286 5844 6429 8279 8572 9253 12858 16558 18506 24837 25716 27759 33116 36431 37012 40717 49674 55518 72862 81434 99348 109293 111036 122151 145724 157301 162868 218586 244302 314602 437172 471903 488604 629204 692189 943806 1043641 1384378 1887612 2076567 2087282 2768756 3130923 4153134 4174564 6261846 8306268 12523692 17741897 19829179 35483794 39658358 53225691 59487537 70967588 79316716 106451382 118975074 212902764 237950148 337096043 674192086 1011288129 1348384172 2022576258 4045152516