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470137852296 = 23357734331093
BaseRepresentation
bin1101101011101100110…
…01100101000110001000
31122221111201022102200000
412311312121211012020
530200320242233141
6555551153443000
745652311544260
oct6656631450610
91587451272600
10470137852296
11171425619992
1277148270460
13354454c05a8
1418a7d2207a0
15c3691895b6
hex6d76665188

470137852296 has 384 divisors, whose sum is σ = 1534692606720. Its totient is φ = 132058128384.

The previous prime is 470137852279. The next prime is 470137852333. The reversal of 470137852296 is 692258731074.

It is a happy number.

470137852296 is a `hidden beast` number, since 47 + 0 + 1 + 3 + 78 + 522 + 9 + 6 = 666.

It is a super-2 number, since 2×4701378522962 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 430134726 + ... + 430135818.

It is an arithmetic number, because the mean of its divisors is an integer number (3996595330).

It is a 1-persistent number, because it is pandigital, but 2⋅470137852296 = 940275704592 is not.

Almost surely, 2470137852296 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 470137852296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767346303360).

470137852296 is an abundant number, since it is smaller than the sum of its proper divisors (1064554754424).

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

470137852296 is a wasteful number, since it uses less digits than its factorization.

470137852296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 470137852296 in words is "four hundred seventy billion, one hundred thirty-seven million, eight hundred fifty-two thousand, two hundred ninety-six".