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742023383796 = 22362312179091
BaseRepresentation
bin10101100110001000000…
…10100100101011110100
32121221021212220111000000
422303010002210223310
544124130441240141
61324514132151300
7104416013460312
oct12630402445364
92557255814000
10742023383796
11266765945952
12bb986168530
1354c84793206
1427cb24d70b2
151447d5205b6
hexacc40a4af4

742023383796 has 168 divisors, whose sum is σ = 2033462458944. Its totient is φ = 236366760960.

The previous prime is 742023383747. The next prime is 742023383861. The reversal of 742023383796 is 697383320247.

742023383796 is a `hidden beast` number, since 74 + 202 + 338 + 37 + 9 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 81617211 + ... + 81626301.

It is an arithmetic number, because the mean of its divisors is an integer number (12103943208).

Almost surely, 2742023383796 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 742023383796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016731229472).

742023383796 is an abundant number, since it is smaller than the sum of its proper divisors (1291439075148).

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

742023383796 is a wasteful number, since it uses less digits than its factorization.

742023383796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10353 (or 10336 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 742023383796 in words is "seven hundred forty-two billion, twenty-three million, three hundred eighty-three thousand, seven hundred ninety-six".