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689366039040 = 293557236883
BaseRepresentation
bin10100000100000010110…
…10101111101000000000
32102220101002211012200000
422002001122233220000
542243310201222130
61244405042400000
7100543063435620
oct12020132575000
92386332735600
10689366039040
112463a4180408
12b172b360000
1350012323053
1425518cb8880
1512dea71e260
hexa0816afa00

689366039040 has 960 divisors, whose sum is σ = 2953046992896. Its totient is φ = 150696640512.

The previous prime is 689366039039. The next prime is 689366039077. The reversal of 689366039040 is 40930663986.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 100151439 + ... + 100158321.

Almost surely, 2689366039040 is an apocalyptic number.

689366039040 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 689366039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476523496448).

689366039040 is an abundant number, since it is smaller than the sum of its proper divisors (2263680953856).

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

689366039040 is an equidigital number, since it uses as much as digits as its factorization.

689366039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6951 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 689366039040 in words is "six hundred eighty-nine billion, three hundred sixty-six million, thirty-nine thousand, forty".