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332011251365640 = 2335711321171118783
BaseRepresentation
bin100101101111101100110010…
…0101100101111011100001000
31121112112222001221220210101020
41023133121210230233130020
5322004133020322200030
63134043510244152440
7126635010213540540
oct11337314454573410
91545488057823336
10332011251365640
11968751a9975950
12312a2008398720
13113346b0102c22
145bdb604a96320
15285b5942a8510
hex12df664b2f708

332011251365640 has 256 divisors, whose sum is σ = 1241848091934720. Its totient is φ = 68987141207040.

The previous prime is 332011251365627. The next prime is 332011251365701. The reversal of 332011251365640 is 46563152110233.

It is a happy number.

It is a super-2 number, since 2×3320112513656402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 332011251365592 and 332011251365601.

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, 296201689 + ... + 297320471.

It is an arithmetic number, because the mean of its divisors is an integer number (4850969109120).

Almost surely, 2332011251365640 is an apocalyptic number.

332011251365640 is a gapful number since it is divisible by the number (30) 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 332011251365640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620924045967360).

332011251365640 is an abundant number, since it is smaller than the sum of its proper divisors (909836840569080).

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

332011251365640 is a wasteful number, since it uses less digits than its factorization.

332011251365640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150932 (or 1150928 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 332011251365640 in words is "three hundred thirty-two trillion, eleven billion, two hundred fifty-one million, three hundred sixty-five thousand, six hundred forty".