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2368379492352 = 21139411433
BaseRepresentation
bin100010011101101110011…
…010110001100000000000
322101102012102212000000000
4202131232122301200000
5302300420122223402
65012004000000000
7333052436345106
oct42355632614000
98342172760000
102368379492352
11833473530835
12323011600000
1314244cb74353
14828b72d5c76
154191889bc1c
hex2276e6b1800

2368379492352 has 480 divisors, whose sum is σ = 7281612177840. Its totient is φ = 769667235840.

The previous prime is 2368379492333. The next prime is 2368379492371. The reversal of 2368379492352 is 2532949738632.

It is a happy number.

2368379492352 is a `hidden beast` number, since 2 + 3 + 68 + 37 + 9 + 492 + 3 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (2368379492333) and next prime (2368379492371).

It is a self number, because there is not a number n which added to its sum of digits gives 2368379492352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1652741428 + ... + 1652742860.

Almost surely, 22368379492352 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 2368379492352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640806088920).

2368379492352 is an abundant number, since it is smaller than the sum of its proper divisors (4913232685488).

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

2368379492352 is an frugal number, since it uses more digits than its factorization.

2368379492352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1479 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 2368379492352 in words is "two trillion, three hundred sixty-eight billion, three hundred seventy-nine million, four hundred ninety-two thousand, three hundred fifty-two".