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642003807654 = 235111747150301
BaseRepresentation
bin10010101011110100110…
…10001010110110100110
32021101010100102120100000
421111322122022312212
541004310433321104
61210533225402130
764245311216436
oct11257232126646
92241110376300
10642003807654
112282aa459a20
12a4511939346
1348704bbb271
1423104a1c2c6
1511a7771a639
hex957a68ada6

642003807654 has 192 divisors, whose sum is σ = 1701697600512. Its totient is φ = 179205696000.

The previous prime is 642003807649. The next prime is 642003807707. The reversal of 642003807654 is 456708300246.

642003807654 is a `hidden beast` number, since 6 + 4 + 200 + 380 + 7 + 65 + 4 = 666.

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, 4196304 + ... + 4346604.

It is an arithmetic number, because the mean of its divisors is an integer number (8863008336).

Almost surely, 2642003807654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642003807654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850848800256).

642003807654 is an abundant number, since it is smaller than the sum of its proper divisors (1059693792858).

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

642003807654 is a wasteful number, since it uses less digits than its factorization.

642003807654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150393 (or 150381 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 642003807654 in words is "six hundred forty-two billion, three million, eight hundred seven thousand, six hundred fifty-four".