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73814348696 = 231116717092939
BaseRepresentation
bin100010010111110101…
…1011001001110011000
321001112020201102121112
41010233223121032120
52202132433124241
653524305355452
75222121416534
oct1045753311630
9231466642545
1073814348696
1129339303770
1212380338b88
136c64766b0a
143803440bc4
151dc04131eb
hex112fad9398

73814348696 has 64 divisors (see below), whose sum is σ = 152028576000. Its totient is φ = 33320210560.

The previous prime is 73814348683. The next prime is 73814348747. The reversal of 73814348696 is 69684341837.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25113995 + ... + 25116933.

It is an arithmetic number, because the mean of its divisors is an integer number (2375446500).

Almost surely, 273814348696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73814348696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76014288000).

73814348696 is an abundant number, since it is smaller than the sum of its proper divisors (78214227304).

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

73814348696 is a wasteful number, since it uses less digits than its factorization.

73814348696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4828 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 59.

The spelling of 73814348696 in words is "seventy-three billion, eight hundred fourteen million, three hundred forty-eight thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 22 44 88 167 334 668 1336 1709 1837 2939 3418 3674 5878 6836 7348 11756 13672 14696 18799 23512 32329 37598 64658 75196 129316 150392 258632 285403 490813 570806 981626 1141612 1963252 2283224 3139433 3926504 5022751 5398943 6278866 10045502 10797886 12557732 20091004 21595772 25115464 40182008 43191544 55250261 110500522 221001044 442002088 838799417 1677598834 3355197668 6710395336 9226793587 18453587174 36907174348 73814348696