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2351042496 = 263811509
BaseRepresentation
bin1000110000100010…
…0000111111000000
320001211220100000000
42030020200333000
514303331324441
61025143000000
7112155350205
oct21410407700
96054810000
102351042496
11aa7114030
12557439000
132b6106c0a
14184357cac
15db6052b6
hex8c220fc0

2351042496 has 252 divisors, whose sum is σ = 7648818840. Its totient is φ = 711037440.

The previous prime is 2351042437. The next prime is 2351042509. The reversal of 2351042496 is 6942401532.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2351042496.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 4618690 + ... + 4619198.

Almost surely, 22351042496 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 2351042496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824409420).

2351042496 is an abundant number, since it is smaller than the sum of its proper divisors (5297776344).

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

2351042496 is an frugal number, since it uses more digits than its factorization.

2351042496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2351042496 is about 48487.5499071669. The cubic root of 2351042496 is about 1329.6994621212.

The spelling of 2351042496 in words is "two billion, three hundred fifty-one million, forty-two thousand, four hundred ninety-six".