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4000001512 = 2313223912379
BaseRepresentation
bin1110111001101011…
…0010110111101000
3101022202201010112011
43232122302313220
531143000022022
61500525525304
7201060310663
oct35632626750
911282633464
104000001512
111772995381
12937713834
134b9922300
1429d3546da
15186275977
hexee6b2de8

4000001512 has 48 divisors (see below), whose sum is σ = 8155944000. Its totient is φ = 1838281536.

The previous prime is 4000001501. The next prime is 4000001521. The reversal of 4000001512 is 2151000004.

It is a super-2 number, since 2×40000015122 = 32000024192004572288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 4000001492 and 4000001501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316939 + ... + 329317.

It is an arithmetic number, because the mean of its divisors is an integer number (169915500).

Almost surely, 24000001512 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 4000001512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077972000).

4000001512 is an abundant number, since it is smaller than the sum of its proper divisors (4155942488).

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

4000001512 is a wasteful number, since it uses less digits than its factorization.

4000001512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12650 (or 12633 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 4000001512 is about 63245.5651567760. The cubic root of 4000001512 is about 1587.4012519807.

Adding to 4000001512 its reverse (2151000004), we get a palindrome (6151001516).

The spelling of 4000001512 in words is "four billion, one thousand, five hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 169 239 338 478 676 956 1352 1912 3107 6214 12379 12428 24758 24856 40391 49516 80782 99032 160927 161564 321854 323128 643708 1287416 2092051 2958581 4184102 5917162 8368204 11834324 16736408 23668648 38461553 76923106 153846212 307692424 500000189 1000000378 2000000756 4000001512