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84896275014 = 23341179214219
BaseRepresentation
bin100111100010000110…
…1100101101001000110
322010010120022121122000
41033010031211221012
52342331421300024
6103000101450130
76063544300605
oct1170415455106
9263116277560
1084896275014
1133005808a61
1214553710946
13800c647575
144175159a3c
15231d286cc9
hex13c4365a46

84896275014 has 64 divisors (see below), whose sum is σ = 194340384000. Its totient is φ = 27454178880.

The previous prime is 84896275001. The next prime is 84896275031. The reversal of 84896275014 is 41057269848.

It is a happy number.

84896275014 is a `hidden beast` number, since 8 + 4 + 8 + 9 + 627 + 5 + 0 + 1 + 4 = 666.

It is a super-2 number, since 2×848962750142 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289197 + ... + 503415.

It is an arithmetic number, because the mean of its divisors is an integer number (3036568500).

Almost surely, 284896275014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84896275014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97170192000).

84896275014 is an abundant number, since it is smaller than the sum of its proper divisors (109444108986).

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

84896275014 is a wasteful number, since it uses less digits than its factorization.

84896275014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214450 (or 214444 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 84896275014 in words is "eighty-four billion, eight hundred ninety-six million, two hundred seventy-five thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 179 246 358 369 537 738 1074 1107 1611 2214 3222 4833 7339 9666 14678 22017 44034 66051 132102 198153 214219 396306 428438 642657 1285314 1927971 3855942 5783913 8782979 11567826 17565958 26348937 38345201 52697874 76690402 79046811 115035603 158093622 230071206 237140433 345106809 474280866 690213618 1035320427 1572153241 2070640854 3144306482 4716459723 9432919446 14149379169 28298758338 42448137507 84896275014