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42651795456 = 214363571
BaseRepresentation
bin100111101110001111…
…101100000000000000
311002002110212201000000
4213232033230000000
51144322324423311
631332144000000
73036644164614
oct475617540000
9132073781000
1042651795456
11170a7910236
128324000000
13403958bbba
1420c8853344
1511996e9056
hex9ee3ec000

42651795456 has 210 divisors, whose sum is σ = 127928790332. Its totient is φ = 14213283840.

The previous prime is 42651795451. The next prime is 42651795463. The reversal of 42651795456 is 65459715624.

42651795456 is a `hidden beast` number, since 4 + 26 + 5 + 1 + 79 + 545 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42651795451) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11942151 + ... + 11945721.

Almost surely, 242651795456 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 42651795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63964395166).

42651795456 is an abundant number, since it is smaller than the sum of its proper divisors (85276994876).

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

42651795456 is an frugal number, since it uses more digits than its factorization.

42651795456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3576 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 42651795456 in words is "forty-two billion, six hundred fifty-one million, seven hundred ninety-five thousand, four hundred fifty-six".