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91939735048 = 23737200322153
BaseRepresentation
bin101010110100000001…
…0010000011000001000
322210022102211110101011
41111220002100120020
53001243033010143
6110123031333304
76433231565530
oct1255002203010
9283272743334
1091939735048
1135a9a646807
121599a521234
138892958bb5
14464278a4c0
1525d17d7e9d
hex1568090608

91939735048 has 64 divisors (see below), whose sum is σ = 202448568960. Its totient is φ = 38316934656.

The previous prime is 91939735007. The next prime is 91939735067. The reversal of 91939735048 is 84053793919.

It is a junction number, because it is equal to n+sod(n) for n = 91939734983 and 91939735001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4139140 + ... + 4161292.

It is an arithmetic number, because the mean of its divisors is an integer number (3163258890).

Almost surely, 291939735048 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 91939735048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101224284480).

91939735048 is an abundant number, since it is smaller than the sum of its proper divisors (110508833912).

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

91939735048 is a wasteful number, since it uses less digits than its factorization.

91939735048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24206 (or 24202 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 58.

The spelling of 91939735048 in words is "ninety-one billion, nine hundred thirty-nine million, seven hundred thirty-five thousand, forty-eight".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 2003 2072 4006 8012 14021 16024 22153 28042 44306 56084 74111 88612 112168 148222 155071 177224 296444 310142 518777 592888 620284 819661 1037554 1240568 1639322 2075108 3278644 4150216 5737627 6557288 11475254 22950508 44372459 45901016 88744918 177489836 310607213 354979672 621214426 1242428852 1641780983 2484857704 3283561966 6567123932 11492466881 13134247864 22984933762 45969867524 91939735048