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332012857407936 = 2632367109101910103
BaseRepresentation
bin100101101111101101100010…
…0011011010011100111000000
31121112120010012212222012020020
41023133123010123103213000
5322004144312444023221
63134044333455213440
7126635065054634565
oct11337330433234700
91545503185865206
10332012857407936
11968759534a4231
12312a2396217280
13113348a7a73003
145bdb7180c086c
15285b63a29cac6
hex12df6c46d39c0

332012857407936 has 448 divisors, whose sum is σ = 939874920652800. Its totient is φ = 103210881675264.

The previous prime is 332012857407893. The next prime is 332012857407953. The reversal of 332012857407936 is 639704758210233.

It is a happy number.

It is a super-2 number, since 2×3320128574079362 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332012857407936.

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, 32862793861 + ... + 32862803963.

It is a 1-persistent number, because it is pandigital, but 2⋅332012857407936 = 664025714815872 is not.

Almost surely, 2332012857407936 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 332012857407936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469937460326400).

332012857407936 is an abundant number, since it is smaller than the sum of its proper divisors (607862063244864).

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

332012857407936 is a wasteful number, since it uses less digits than its factorization.

332012857407936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11336 (or 11326 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 332012857407936 in words is "three hundred thirty-two trillion, twelve billion, eight hundred fifty-seven million, four hundred seven thousand, nine hundred thirty-six".