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1374190857216 = 210324143831019
BaseRepresentation
bin10011111111110100001…
…010000110110000000000
311212101000201112111102200
4103333310022012300000
5140003320324412331
62531143343113200
7201165505362552
oct23776412066000
94771021474380
101374190857216
1148a877a06321
121a23b18a2800
139c77c869158
144a7229d74d2
1525b2c40b5e6
hex13ff4286c00

1374190857216 has 528 divisors, whose sum is σ = 4213496327040. Its totient is φ = 430816296960.

The previous prime is 1374190857203. The next prime is 1374190857227. The reversal of 1374190857216 is 6127580914731.

1374190857216 is a `hidden beast` number, since 1 + 3 + 7 + 419 + 0 + 8 + 5 + 7 + 216 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1348567555 + ... + 1348568573.

It is an arithmetic number, because the mean of its divisors is an integer number (7980106680).

It is a 1-persistent number, because it is pandigital, but 2⋅1374190857216 = 2748381714432 is not.

Almost surely, 21374190857216 is an apocalyptic number.

1374190857216 is a gapful number since it is divisible by the number (16) 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 1374190857216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106748163520).

1374190857216 is an abundant number, since it is smaller than the sum of its proper divisors (2839305469824).

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

1374190857216 is a wasteful number, since it uses less digits than its factorization.

1374190857216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1374190857216 in words is "one trillion, three hundred seventy-four billion, one hundred ninety million, eight hundred fifty-seven thousand, two hundred sixteen".