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397672104960 = 21035513231069
BaseRepresentation
bin1011100100101110001…
…10101100010000000000
31102000110110020001100000
411302113012230100000
523003413024324320
6502404341200000
740505454056004
oct5622706542000
91360413201300
10397672104960
111437195993a9
12650a3700000
132b66727a360
1415366d52704
15a527366c90
hex5c971ac400

397672104960 has 1056 divisors, whose sum is σ = 1607287368960. Its totient is φ = 93544906752.

The previous prime is 397672104943. The next prime is 397672104967. The reversal of 397672104960 is 69401276793.

It is a happy number.

397672104960 is a `hidden beast` number, since 3 + 9 + 76 + 72 + 10 + 496 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 397672104897 and 397672104906.

It is not an unprimeable number, because it can be changed into a prime (397672104967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 372003306 + ... + 372004374.

Almost surely, 2397672104960 is an apocalyptic number.

397672104960 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 397672104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803643684480).

397672104960 is an abundant number, since it is smaller than the sum of its proper divisors (1209615264000).

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

397672104960 is a wasteful number, since it uses less digits than its factorization.

397672104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 397672104960 in words is "three hundred ninety-seven billion, six hundred seventy-two million, one hundred four thousand, nine hundred sixty".