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742341063024 = 2432113166122871
BaseRepresentation
bin10101100110101101111…
…10011011000101110000
32121222010000200020222100
422303112332123011300
544130303303004044
61325005441140400
7104426621631651
oct12632676330560
92558100606870
10742341063024
112669091a4a70
12bba5462a700
1355005540ca2
1427d0278d528
151449b372869
hexacd6f9b170

742341063024 has 240 divisors, whose sum is σ = 2343140886528. Its totient is φ = 217356480000.

The previous prime is 742341063017. The next prime is 742341063077. The reversal of 742341063024 is 420360143247.

742341063024 is a `hidden beast` number, since 7 + 4 + 2 + 3 + 4 + 10 + 630 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 742341063024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32446309 + ... + 32469179.

Almost surely, 2742341063024 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 742341063024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171570443264).

742341063024 is an abundant number, since it is smaller than the sum of its proper divisors (1600799823504).

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

742341063024 is a wasteful number, since it uses less digits than its factorization.

742341063024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23588 (or 23579 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 742341063024 in words is "seven hundred forty-two billion, three hundred forty-one million, sixty-three thousand, twenty-four".