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332019975146464 = 251141432199124329
BaseRepresentation
bin100101101111110000110110…
…0101011010100101111100000
31121112120210120221020202220201
41023133201230223110233200
5322004303402114141324
63134051512041114544
7126635436333466063
oct11337415453245740
91545523527222821
10332019975146464
1196878976255570
12312a3841a88a54
1311335470590707
145bdbbd15288da
15285b9050c2444
hex12df86cad4be0

332019975146464 has 192 divisors, whose sum is σ = 747533393671680. Its totient is φ = 143800667136000.

The previous prime is 332019975146443. The next prime is 332019975146543. The reversal of 332019975146464 is 464641579910233.

It is a super-2 number, since 2×3320199751464642 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332019975146396 and 332019975146405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13647074652 + ... + 13647098980.

It is an arithmetic number, because the mean of its divisors is an integer number (3893403092040).

Almost surely, 2332019975146464 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 332019975146464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373766696835840).

332019975146464 is an abundant number, since it is smaller than the sum of its proper divisors (415513418525216).

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

332019975146464 is a wasteful number, since it uses less digits than its factorization.

332019975146464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46425 (or 46417 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 64.

The spelling of 332019975146464 in words is "three hundred thirty-two trillion, nineteen billion, nine hundred seventy-five million, one hundred forty-six thousand, four hundred sixty-four".