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1397631416580 = 22335717211110303
BaseRepresentation
bin10100010101101001010…
…100101111100100000100
311221121112100002021212000
4110111221110233210010
5140344322120312310
62550021335425300
7202655416012020
oct24255124574404
94847470067760
101397631416580
11499806553533
121a6a53b25230
13a1a46c9ac19
144b907c07380
15265502424c0
hex1456952f904

1397631416580 has 384 divisors, whose sum is σ = 5264674652160. Its totient is φ = 300495329280.

The previous prime is 1397631416549. The next prime is 1397631416581. The reversal of 1397631416580 is 856141367931.

1397631416580 is a `hidden beast` number, since 1 + 3 + 97 + 6 + 314 + 165 + 80 = 666.

It is a super-2 number, since 2×13976314165802 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1397631416581) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135647709 + ... + 135658011.

It is an arithmetic number, because the mean of its divisors is an integer number (13710090240).

Almost surely, 21397631416580 is an apocalyptic number.

1397631416580 is a gapful number since it is divisible by the number (10) 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 1397631416580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632337326080).

1397631416580 is an abundant number, since it is smaller than the sum of its proper divisors (3867043235580).

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

1397631416580 is a wasteful number, since it uses less digits than its factorization.

1397631416580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12456 (or 12448 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

It can be divided in two parts, 13976 and 31416580, that added together give a triangular number (31430556 = T7928).

The spelling of 1397631416580 in words is "one trillion, three hundred ninety-seven billion, six hundred thirty-one million, four hundred sixteen thousand, five hundred eighty".