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78396592014 = 23313733114919
BaseRepresentation
bin100100100000011001…
…1010000111110001110
321111100121000111202000
41021000303100332032
52241024011421024
6100003115013130
75443512015516
oct1110063207616
9244317014660
1078396592014
113027a917a14
121323aa3a1a6
137514ba7ab0
143b19c38846
15208c849cc9
hex1240cd0f8e

78396592014 has 128 divisors (see below), whose sum is σ = 190836172800. Its totient is φ = 23710268160.

The previous prime is 78396591991. The next prime is 78396592031. The reversal of 78396592014 is 41029569387.

78396592014 is a `hidden beast` number, since 7 + 8 + 39 + 6 + 592 + 0 + 14 = 666.

It is a super-2 number, since 2×783965920142 (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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15935047 + ... + 15939965.

It is an arithmetic number, because the mean of its divisors is an integer number (1490907600).

It is a 3-persistent number, because k⋅78396592014 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 278396592014 is an apocalyptic number.

78396592014 is the 177084-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78396592014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95418086400).

78396592014 is an abundant number, since it is smaller than the sum of its proper divisors (112439580786).

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

78396592014 is a wasteful number, since it uses less digits than its factorization.

78396592014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5327 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 78396592014 in words is "seventy-eight billion, three hundred ninety-six million, five hundred ninety-two thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 73 78 117 146 219 234 311 351 438 622 657 702 933 949 1314 1866 1898 1971 2799 2847 3942 4043 4919 5598 5694 8086 8397 8541 9838 12129 14757 16794 17082 22703 24258 25623 29514 36387 44271 45406 51246 63947 68109 72774 88542 109161 127894 132813 136218 191841 204327 218322 265626 295139 359087 383682 408654 575523 590278 612981 718174 885417 1077261 1151046 1225962 1529809 1726569 1770834 2154522 2656251 3059618 3231783 3453138 4589427 4668131 5312502 6463566 7968753 9178854 9336262 9695349 13768281 14004393 15937506 19390698 19887517 27536562 28008786 39775034 41304843 42013179 59662551 82609686 84026358 111676057 119325102 126039537 178987653 223352114 252079074 335028171 357975306 536962959 670056342 1005084513 1073925918 1451788741 2010169026 2903577482 3015253539 4355366223 6030507078 8710732446 13066098669 26132197338 39198296007 78396592014