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742052959920 = 24335734999431
BaseRepresentation
bin10101100110001011100…
…11011001011010110000
32121221100221120002211000
422303011303121122300
544124211024204140
61324521110122000
7104416523042136
oct12630563313260
92557327502730
10742052959920
11266780606928
12bb994050300
1354c8a94a28c
1427cb63d5756
1514480e13a30
hexacc5cd96b0

742052959920 has 320 divisors, whose sum is σ = 2596440960000. Its totient is φ = 194758318080.

The previous prime is 742052959891. The next prime is 742052960009. The reversal of 742052959920 is 29959250247.

742052959920 is a `hidden beast` number, since 7 + 4 + 2 + 0 + 5 + 29 + 599 + 20 = 666.

742052959920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 78677605 + ... + 78687035.

It is an arithmetic number, because the mean of its divisors is an integer number (8113878000).

Almost surely, 2742052959920 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 742052959920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298220480000).

742052959920 is an abundant number, since it is smaller than the sum of its proper divisors (1854388000080).

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

742052959920 is a wasteful number, since it uses less digits than its factorization.

742052959920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10025 (or 10013 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 742052959920 in words is "seven hundred forty-two billion, fifty-two million, nine hundred fifty-nine thousand, nine hundred twenty".