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1372896941472 = 2532721723110859
BaseRepresentation
bin10011111110100111000…
…010001101010110100000
311212020200112210202201100
4103332213002031112200
5134443143104111342
62530411122034400
7201121444312500
oct23764702152640
94766615722640
101372896941472
1148a273594271
121a20b04a8a00
139c604781634
144a63cc1ba00
1525aa3a1de4c
hex13fa708d5a0

1372896941472 has 648 divisors, whose sum is σ = 4980545781120. Its totient is φ = 357240360960.

The previous prime is 1372896941467. The next prime is 1372896941477. The reversal of 1372896941472 is 2741496982731.

1372896941472 is a `hidden beast` number, since 1 + 3 + 72 + 8 + 9 + 6 + 94 + 1 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (1372896941467) and next prime (1372896941477).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1372896941477) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 126423979 + ... + 126434837.

It is an arithmetic number, because the mean of its divisors is an integer number (7686027440).

Almost surely, 21372896941472 is an apocalyptic number.

1372896941472 is a gapful number since it is divisible by the number (12) 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 1372896941472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490272890560).

1372896941472 is an abundant number, since it is smaller than the sum of its proper divisors (3607648839648).

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

1372896941472 is a wasteful number, since it uses less digits than its factorization.

1372896941472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10954 (or 10919 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 1372896941472 in words is "one trillion, three hundred seventy-two billion, eight hundred ninety-six million, nine hundred forty-one thousand, four hundred seventy-two".