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680861554632 = 233372474612969
BaseRepresentation
bin10011110100001101000…
…00101101011111001000
32102002102102010122021000
421322012200231133020
542123401024222012
61240441122015000
7100122245503500
oct11720640553710
92362372118230
10680861554632
1124282a6633a6
12abb571a7460
134c28841795c
1424d4d60ca00
1512a9dcc1ddc
hex9e8682d7c8

680861554632 has 384 divisors, whose sum is σ = 2252505024000. Its totient is φ = 189915909120.

The previous prime is 680861554627. The next prime is 680861554699. The reversal of 680861554632 is 236455168086.

680861554632 is a `hidden beast` number, since 6 + 8 + 0 + 8 + 61 + 5 + 546 + 32 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229322044 + ... + 229325012.

It is an arithmetic number, because the mean of its divisors is an integer number (5865898500).

Almost surely, 2680861554632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680861554632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126252512000).

680861554632 is an abundant number, since it is smaller than the sum of its proper divisors (1571643469368).

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

680861554632 is a wasteful number, since it uses less digits than its factorization.

680861554632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 680861554632 in words is "six hundred eighty billion, eight hundred sixty-one million, five hundred fifty-four thousand, six hundred thirty-two".