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182831975161440 = 253511174094980191
BaseRepresentation
bin101001100100100011100010…
…111011101101111001100000
3212222100120021201001122100220
4221210203202323231321200
5142431004341120131230
61444503503323243040
753340113533053003
oct5144434273557140
9788316251048326
10182831975161440
115328a672616950
121860a08a679480
137b02c9ab3c757
14332118709753a
151620d2c709d10
hexa648e2eede60

182831975161440 has 384 divisors, whose sum is σ = 666861254922240. Its totient is φ = 41613670809600.

The previous prime is 182831975161427. The next prime is 182831975161469. The reversal of 182831975161440 is 44161579138281.

It is a happy number.

182831975161440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1828319751614402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34221745 + ... + 39201935.

It is an arithmetic number, because the mean of its divisors is an integer number (1736617851360).

It is a 1-persistent number, because it is pandigital, but 2⋅182831975161440 = 365663950322880 is not.

Almost surely, 2182831975161440 is an apocalyptic number.

182831975161440 is a gapful number since it is divisible by the number (10) 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 182831975161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333430627461120).

182831975161440 is an abundant number, since it is smaller than the sum of its proper divisors (484029279760800).

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

182831975161440 is a wasteful number, since it uses less digits than its factorization.

182831975161440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4980646 (or 4980638 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 182831975161440 in words is "one hundred eighty-two trillion, eight hundred thirty-one billion, nine hundred seventy-five million, one hundred sixty-one thousand, four hundred forty".