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5506190352 = 2433132531423
BaseRepresentation
bin1010010000011000…
…11100110000010000
3112012201212110012000
411020030130300100
542234041042402
62310212434000
7253306563045
oct51014346020
915181773160
105506190352
112376112343
121098018900
136999a0500
143a33c91cc
152235e3c1c
hex14831cc10

5506190352 has 240 divisors, whose sum is σ = 17449240320. Its totient is φ = 1661078016.

The previous prime is 5506190351. The next prime is 5506190411. The reversal of 5506190352 is 2530916055.

5506190352 is a `hidden beast` number, since 5 + 5 + 0 + 619 + 0 + 35 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5506190351) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3868713 + ... + 3870135.

It is an arithmetic number, because the mean of its divisors is an integer number (72705168).

Almost surely, 25506190352 is an apocalyptic number.

5506190352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5506190352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8724620160).

5506190352 is an abundant number, since it is smaller than the sum of its proper divisors (11943049968).

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

5506190352 is a wasteful number, since it uses less digits than its factorization.

5506190352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 5506190352 is about 74203.7084787546. The cubic root of 5506190352 is about 1765.8361647823.

The spelling of 5506190352 in words is "five billion, five hundred six million, one hundred ninety thousand, three hundred fifty-two".