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196268278752 = 2532713192317137
BaseRepresentation
bin1011011011001010000…
…0000100001111100000
3200202121021101121022100
42312302200010033200
511203424134410002
6230055302210400
720115465562140
oct2666240041740
9622537347270
10196268278752
1176267365857
1232055a23a00
131567b16ccb0
1496dc644920
15518aa4411c
hex2db28043e0

196268278752 has 576 divisors, whose sum is σ = 754576542720. Its totient is φ = 46903836672.

The previous prime is 196268278741. The next prime is 196268278777. The reversal of 196268278752 is 257872862691.

196268278752 is digitally balanced in base 3, because in such base 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 (63).

It is a self number, because there is not a number n which added to its sum of digits gives 196268278752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11444328 + ... + 11461464.

It is an arithmetic number, because the mean of its divisors is an integer number (1310028720).

Almost surely, 2196268278752 is an apocalyptic number.

196268278752 is a gapful number since it is divisible by the number (12) 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 196268278752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377288271360).

196268278752 is an abundant number, since it is smaller than the sum of its proper divisors (558308263968).

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

196268278752 is a wasteful number, since it uses less digits than its factorization.

196268278752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17215 (or 17204 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 196268278752 in words is "one hundred ninety-six billion, two hundred sixty-eight million, two hundred seventy-eight thousand, seven hundred fifty-two".