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642066750 = 2365313271
BaseRepresentation
bin100110010001010…
…010100100111110
31122202011101000000
4212101102210332
52303332114000
6143413415130
721624322503
oct4621224476
91582141000
10642066750
112aa480286
1215b03a4a6
13a3037070
14613b74aa
153b57c000
hex2645293e

642066750 has 224 divisors, whose sum is σ = 1947883392. Its totient is φ = 157464000.

The previous prime is 642066749. The next prime is 642066779. The reversal of 642066750 is 57660246.

642066750 is a `hidden beast` number, since 642 + 0 + 6 + 6 + 7 + 5 + 0 = 666.

It is a super-2 number, since 2×6420667502 = 824499422911125000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2369115 + ... + 2369385.

It is an arithmetic number, because the mean of its divisors is an integer number (8695908).

Almost surely, 2642066750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642066750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973941696).

642066750 is an abundant number, since it is smaller than the sum of its proper divisors (1305816642).

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

642066750 is a wasteful number, since it uses less digits than its factorization.

642066750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 642066750 is about 25339.0360905856. The cubic root of 642066750 is about 862.7005204856.

The spelling of 642066750 in words is "six hundred forty-two million, sixty-six thousand, seven hundred fifty".