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853423393680 = 2434511131948473
BaseRepresentation
bin11000110101100111111…
…11111000101110010000
310000120211112200022220000
430122303333320232100
5102440302342044210
61452020213050000
7115441425104244
oct14326377705620
93016745608800
10853423393680
112a9a31291120
12119495926900
1362629043220
142d43d5d2424
15172ed4b0ac0
hexc6b3ff8b90

853423393680 has 800 divisors, whose sum is σ = 3665611635840. Its totient is φ = 180920770560.

The previous prime is 853423393651. The next prime is 853423393703. The reversal of 853423393680 is 86393324358.

It is a happy number.

853423393680 is a `hidden beast` number, since 8 + 53 + 423 + 3 + 93 + 6 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17581924 + ... + 17630396.

Almost surely, 2853423393680 is an apocalyptic number.

853423393680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853423393680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832805817920).

853423393680 is an abundant number, since it is smaller than the sum of its proper divisors (2812188242160).

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

853423393680 is a wasteful number, since it uses less digits than its factorization.

853423393680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48541 (or 48526 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 853423393680 in words is "eight hundred fifty-three billion, four hundred twenty-three million, three hundred ninety-three thousand, six hundred eighty".