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402426068688 = 243272411917283
BaseRepresentation
bin1011101101100100111…
…01100111111011010000
31102110201202122102120200
411312302131213323100
523043132033144223
6504512203135200
741034331100400
oct5666235477320
91373652572520
10402426068688
1114573902a746
1265bab814500
132bc44153747
141569848a800
15a7048bda43
hex5db2767ed0

402426068688 has 360 divisors, whose sum is σ = 1349274640896. Its totient is φ = 111571891200.

The previous prime is 402426068591. The next prime is 402426068699. The reversal of 402426068688 is 886860624204.

402426068688 is a `hidden beast` number, since 4 + 0 + 24 + 2 + 606 + 8 + 6 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55251895 + ... + 55259177.

Almost surely, 2402426068688 is an apocalyptic number.

402426068688 is a gapful number since it is divisible by the number (48) 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 402426068688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674637320448).

402426068688 is an abundant number, since it is smaller than the sum of its proper divisors (946848572208).

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

402426068688 is a wasteful number, since it uses less digits than its factorization.

402426068688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7543 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 402426068688 in words is "four hundred two billion, four hundred twenty-six million, sixty-eight thousand, six hundred eighty-eight".