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81802994148 = 223810729131
BaseRepresentation
bin100110000101111010…
…1101010000111100100
321211010222202200000000
41030023311222013210
52320013031303043
6101325122021300
75624103656211
oct1141365520744
9254128680000
1081802994148
1131768726297
1213a2b7a7830
137938832965
143d603d0b08
1521db9192d3
hex130bd6a1e4

81802994148 has 108 divisors (see below), whose sum is σ = 216736137072. Its totient is φ = 27011899440.

The previous prime is 81802994131. The next prime is 81802994167. The reversal of 81802994148 is 84149920818.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 81802994094 and 81802994103.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2793543 + ... + 2822673.

It is an arithmetic number, because the mean of its divisors is an integer number (2006816084).

Almost surely, 281802994148 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 81802994148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108368068536).

81802994148 is an abundant number, since it is smaller than the sum of its proper divisors (134933142924).

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

81802994148 is a wasteful number, since it uses less digits than its factorization.

81802994148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29266 (or 29243 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 81802994148 in words is "eighty-one billion, eight hundred two million, nine hundred ninety-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 243 321 324 428 486 642 729 963 972 1284 1458 1926 2187 2889 2916 3852 4374 5778 6561 8667 8748 11556 13122 17334 26001 26244 29131 34668 52002 58262 78003 87393 104004 116524 156006 174786 234009 262179 312012 349572 468018 524358 702027 786537 936036 1048716 1404054 1573074 2359611 2808108 3117017 3146148 4719222 6234034 7078833 9351051 9438444 12468068 14157666 18702102 21236499 28053153 28315332 37404204 42472998 56106306 63709497 84159459 84945996 112212612 127418994 168318918 191128491 252478377 254837988 336637836 382256982 504956754 757435131 764513964 1009913508 1514870262 2272305393 3029740524 4544610786 6816916179 9089221572 13633832358 20450748537 27267664716 40901497074 81802994148