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397045092487680 = 2937571323311093
BaseRepresentation
bin101101001000111000100001…
…1101100101001001000000000
31221001211010210011110120000000
41122101301003230221020000
5404020141322134101210
63524235555240000000
7146426363345330010
oct13221610354511000
91831733704416000
10397045092487680
1110556897284636a
1238645bba160000
1314071264b42330
1470091293b7c40
1530d80c24e6ac0
hex1691c43b29200

397045092487680 has 5120 divisors, whose sum is σ = 1894511703490560. Its totient is φ = 77474101985280.

The previous prime is 397045092487679. The next prime is 397045092487739. The reversal of 397045092487680 is 86784290540793.

397045092487680 is a `hidden beast` number, since 3 + 9 + 7 + 0 + 4 + 50 + 92 + 487 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 397045092487599 and 397045092487608.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 363261749214 + ... + 363261750306.

It is an arithmetic number, because the mean of its divisors is an integer number (370021817088).

Almost surely, 2397045092487680 is an apocalyptic number.

397045092487680 is a gapful number since it is divisible by the number (30) 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 397045092487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947255851745280).

397045092487680 is an abundant number, since it is smaller than the sum of its proper divisors (1497466611002880).

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

397045092487680 is a wasteful number, since it uses less digits than its factorization.

397045092487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 397045092487680 in words is "three hundred ninety-seven trillion, forty-five billion, ninety-two million, four hundred eighty-seven thousand, six hundred eighty".