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81214298838 = 2336748746093
BaseRepresentation
bin100101110100010111…
…1111101101011010110
321202121222000211212000
41023220233331223112
52312311330030323
6101150452140130
75603365102311
oct1135057755326
9252558024760
1081214298838
1131496399842
12138a6607646
13787389473a
143d0614b978
1521a4dd0e43
hex12e8bfdad6

81214298838 has 64 divisors (see below), whose sum is σ = 183549995520. Its totient is φ = 26612045856.

The previous prime is 81214298831. The next prime is 81214298903. The reversal of 81214298838 is 83889241218.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81214298831) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1738920 + ... + 1785012.

It is an arithmetic number, because the mean of its divisors is an integer number (2867968680).

Almost surely, 281214298838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81214298838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91774997760).

81214298838 is an abundant number, since it is smaller than the sum of its proper divisors (102335696682).

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

81214298838 is a wasteful number, since it uses less digits than its factorization.

81214298838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46658 (or 46652 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The spelling of 81214298838 in words is "eighty-one billion, two hundred fourteen million, two hundred ninety-eight thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 487 603 974 1206 1461 1809 2922 3618 4383 8766 13149 26298 32629 46093 65258 92186 97887 138279 195774 276558 293661 414837 587322 829674 880983 1244511 1761966 2489022 3088231 6176462 9264693 18529386 22447291 27794079 44894582 55588158 67341873 83382237 134683746 166764474 202025619 404051238 606076857 1212153714 1503968497 3007936994 4511905491 9023810982 13535716473 27071432946 40607149419 81214298838