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5112552984 = 23372112193161
BaseRepresentation
bin1001100001011101…
…10101111000011000
3111012022011121020020
410300232311320120
540432303143414
62203151430440
7240456661200
oct46056657030
914168147206
105112552984
1121939a2800
12ba8225420
13636278ca6
14366ddd400
151edc8a7a9
hex130bb5e18

5112552984 has 576 divisors, whose sum is σ = 18048844800. Its totient is φ = 1197504000.

The previous prime is 5112552967. The next prime is 5112552997. The reversal of 5112552984 is 4892552115.

It is a super-2 number, since 2×51125529842 = 52276396028414608512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83812314 + ... + 83812374.

It is an arithmetic number, because the mean of its divisors is an integer number (31334800).

Almost surely, 25112552984 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 5112552984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9024422400).

5112552984 is an abundant number, since it is smaller than the sum of its proper divisors (12936291816).

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

5112552984 is a wasteful number, since it uses less digits than its factorization.

5112552984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 134 counting only the distinct ones).

The product of its digits is 144000, while the sum is 42.

The square root of 5112552984 is about 71502.1187378388. The cubic root of 5112552984 is about 1722.7117158488.

It can be divided in two parts, 5112 and 552984, that added together give a triangular number (558096 = T1056).

The spelling of 5112552984 in words is "five billion, one hundred twelve million, five hundred fifty-two thousand, nine hundred eighty-four".