Search a number
-
+
74986028133912 = 2334731221181527
BaseRepresentation
bin10001000011001100001011…
…100100011110111000011000
3100211111121001020012120010000
4101003030023210132320120
534312032341200241122
6423252034502253000
721536363452343550
oct2103141344367030
9324447036176100
1074986028133912
1121990439aaa915
1284b0965127160
1332ac1c925c88c
1414734b377a160
158a085a7e00ac
hex44330b91ee18

74986028133912 has 480 divisors, whose sum is σ = 249206011464960. Its totient is φ = 20634948028800.

The previous prime is 74986028133883. The next prime is 74986028133937. The reversal of 74986028133912 is 21933182068947.

74986028133912 is a `hidden beast` number, since 7 + 4 + 9 + 8 + 6 + 0 + 281 + 339 + 12 = 666.

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 74986028133912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 919728493 + ... + 919810019.

It is an arithmetic number, because the mean of its divisors is an integer number (519179190552).

Almost surely, 274986028133912 is an apocalyptic number.

74986028133912 is a gapful number since it is divisible by the number (72) 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 74986028133912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124603005732480).

74986028133912 is an abundant number, since it is smaller than the sum of its proper divisors (174219983331048).

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

74986028133912 is a wasteful number, since it uses less digits than its factorization.

74986028133912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81825 (or 81781 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 74986028133912 in words is "seventy-four trillion, nine hundred eighty-six billion, twenty-eight million, one hundred thirty-three thousand, nine hundred twelve".