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1957683016 = 234329319423
BaseRepresentation
bin111010010101111…
…1101111101001000
312001102201121020101
41310223331331020
513002131324031
6522131535144
766341013442
oct16453757510
95042647211
101957683016
11915074253
1246775a4b4
1325277c023
14148001492
15b6d04361
hex74afdf48

1957683016 has 32 divisors (see below), whose sum is σ = 3769032960. Its totient is φ = 952765632.

The previous prime is 1957683011. The next prime is 1957683023. The reversal of 1957683016 is 6103867591.

It is a happy number.

It is a super-2 number, since 2×19576830162 = 7665045582269712512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1957683011) 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 7 ways as a sum of consecutive naturals, for example, 91081 + ... + 110503.

It is an arithmetic number, because the mean of its divisors is an integer number (117782280).

Almost surely, 21957683016 is an apocalyptic number.

It is an amenable number.

1957683016 is a deficient number, since it is larger than the sum of its proper divisors (1811349944).

1957683016 is a wasteful number, since it uses less digits than its factorization.

1957683016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19765 (or 19761 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 1957683016 is about 44245.7118374199. The cubic root of 1957683016 is about 1250.9716213126.

The spelling of 1957683016 in words is "one billion, nine hundred fifty-seven million, six hundred eighty-three thousand, sixteen".

Divisors: 1 2 4 8 43 86 172 293 344 586 1172 2344 12599 19423 25198 38846 50396 77692 100792 155384 835189 1670378 3340756 5690939 6681512 11381878 22763756 45527512 244710377 489420754 978841508 1957683016