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80264427159384 = 2332131753265918397
BaseRepresentation
bin10010010000000000000100…
…101010110011111101011000
3101112012012111221012111211200
4102100000010222303331120
541010023021323100014
6442412545132154200
722622625220645266
oct2220000452637530
9345165457174750
1080264427159384
1123635a52707806
12900394a308960
1335a2b97b905c0
1415b6b674b3436
15942cde111a09
hex490004ab3f58

80264427159384 has 192 divisors, whose sum is σ = 234338954085600. Its totient is φ = 24672034695168.

The previous prime is 80264427159383. The next prime is 80264427159419. The reversal of 80264427159384 is 48395172446208.

80264427159384 is a `hidden beast` number, since 8 + 0 + 2 + 6 + 442 + 7 + 159 + 38 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80264427159383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4362899274 + ... + 4362917670.

It is a 1-persistent number, because it is pandigital, but 2⋅80264427159384 = 160528854318768 is not.

Almost surely, 280264427159384 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 80264427159384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117169477042800).

80264427159384 is an abundant number, since it is smaller than the sum of its proper divisors (154074526926216).

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

80264427159384 is a wasteful number, since it uses less digits than its factorization.

80264427159384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22834 (or 22827 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 80264427159384 in words is "eighty trillion, two hundred sixty-four billion, four hundred twenty-seven million, one hundred fifty-nine thousand, three hundred eighty-four".