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685232308440 = 2332537435322573
BaseRepresentation
bin10011111100010110000…
…01110100000011011000
32102111201000110221022200
421332023001310003120
542211323432332230
61242442534250200
7100335460343121
oct11761301640330
92374630427280
10685232308440
11244672857429
12b0976ab6960
134c803aaab04
1425245cb3048
1512c57880160
hex9f8b0740d8

685232308440 has 384 divisors, whose sum is σ = 2384648735040. Its totient is φ = 170371289088.

The previous prime is 685232308421. The next prime is 685232308451. The reversal of 685232308440 is 44803232586.

685232308440 is a `hidden beast` number, since 6 + 8 + 523 + 2 + 3 + 0 + 84 + 40 = 666.

It is a super-2 number, since 2×6852323084402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30344994 + ... + 30367566.

Almost surely, 2685232308440 is an apocalyptic number.

685232308440 is a gapful number since it is divisible by the number (60) 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 685232308440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192324367520).

685232308440 is an abundant number, since it is smaller than the sum of its proper divisors (1699416426600).

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

685232308440 is a wasteful number, since it uses less digits than its factorization.

685232308440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22723 (or 22716 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 685232308440 in words is "six hundred eighty-five billion, two hundred thirty-two million, three hundred eight thousand, four hundred forty".