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349981947792 = 24324795073967
BaseRepresentation
bin1010001011111001000…
…11001011011110010000
31020110100211210001101200
411011330203023132100
521213230334312132
6424440211431200
734166610320631
oct5057443133620
91213324701350
10349981947792
1112547675a474
12579b42b5500
1327006c1a949
1412d212d3888
159185689d7c
hex517c8cb790

349981947792 has 60 divisors (see below), whose sum is σ = 981508369920. Its totient is φ = 116417075904.

The previous prime is 349981947779. The next prime is 349981947793. The reversal of 349981947792 is 297749189943.

349981947792 is a `hidden beast` number, since 3 + 499 + 8 + 1 + 9 + 47 + 7 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 349981947792.

It is not an unprimeable number, because it can be changed into a prime (349981947793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2468008 + ... + 2605959.

It is an arithmetic number, because the mean of its divisors is an integer number (16358472832).

Almost surely, 2349981947792 is an apocalyptic number.

It is an amenable number.

349981947792 is an abundant number, since it is smaller than the sum of its proper divisors (631526422128).

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

349981947792 is a wasteful number, since it uses less digits than its factorization.

349981947792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074460 (or 5074451 counting only the distinct ones).

The product of its digits is 246903552, while the sum is 72.

The spelling of 349981947792 in words is "three hundred forty-nine billion, nine hundred eighty-one million, nine hundred forty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 479 958 1437 1916 2874 3832 4311 5748 7664 8622 11496 17244 22992 34488 68976 5073967 10147934 15221901 20295868 30443802 40591736 45665703 60887604 81183472 91331406 121775208 182662812 243550416 365325624 730651248 2430430193 4860860386 7291290579 9721720772 14582581158 19443441544 21873871737 29165162316 38886883088 43747743474 58330324632 87495486948 116660649264 174990973896 349981947792