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3372141504732 = 223711132198231381
BaseRepresentation
bin110001000100100011010…
…010111110100011011100
3102221101002100011110021220
4301010203102332203130
5420222121211122412
611101050155253340
7465425544566220
oct61044322764334
912841070143256
103372141504732
111090131a71270
1246566344a250
131b5cb7666700
14b92d9222780
155cab552868c
hex311234be8dc

3372141504732 has 576 divisors, whose sum is σ = 11203290685440. Its totient is φ = 764467891200.

The previous prime is 3372141504701. The next prime is 3372141504733. The reversal of 3372141504732 is 2374051412733.

It is a happy number.

It is a super-3 number, since 3×33721415047323 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3372141504733) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2441810682 + ... + 2441812062.

It is an arithmetic number, because the mean of its divisors is an integer number (19450157440).

Almost surely, 23372141504732 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 3372141504732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601645342720).

3372141504732 is an abundant number, since it is smaller than the sum of its proper divisors (7831149180708).

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

3372141504732 is a wasteful number, since it uses less digits than its factorization.

3372141504732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 3372141504732 in words is "three trillion, three hundred seventy-two billion, one hundred forty-one million, five hundred four thousand, seven hundred thirty-two".