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73916095056 = 24329100952627
BaseRepresentation
bin100010011010110111…
…1100001101001010000
321001210100011200101020
41010311233201221100
52202340010020211
653542342235440
75224465304256
oct1046557415120
9231710150336
1073916095056
1129390788271
12123aa425b80
136c7c86c46b
143812b685d6
151dc9310306
hex1135be1a50

73916095056 has 80 divisors (see below), whose sum is σ = 197733921600. Its totient is φ = 23765059584.

The previous prime is 73916095051. The next prime is 73916095069. The reversal of 73916095056 is 65059061937.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73916095051) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1378215 + ... + 1430841.

It is an arithmetic number, because the mean of its divisors is an integer number (2471674020).

Almost surely, 273916095056 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 73916095056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98866960800).

73916095056 is an abundant number, since it is smaller than the sum of its proper divisors (123817826544).

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

73916095056 is a wasteful number, since it uses less digits than its factorization.

73916095056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53676 (or 53670 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 51.

The spelling of 73916095056 in words is "seventy-three billion, nine hundred sixteen million, ninety-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1009 1392 2018 3027 4036 6054 8072 12108 16144 24216 29261 48432 52627 58522 87783 105254 117044 157881 175566 210508 234088 315762 351132 421016 468176 631524 702264 842032 1263048 1404528 1526183 2526096 3052366 4578549 6104732 9157098 12209464 18314196 24418928 36628392 53100643 73256784 106201286 159301929 212402572 318603858 424805144 637207716 849610288 1274415432 1539918647 2548830864 3079837294 4619755941 6159674588 9239511882 12319349176 18479023764 24638698352 36958047528 73916095056