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11322368413128 = 233514537400651
BaseRepresentation
bin1010010011000011000110…
…1111110100110111001000
31111002102000022200211100000
42210300301233310313020
52441001202303210003
640025231345243000
72246004562401303
oct244606157646710
944072008624300
1011322368413128
113675875883053
12132a426333460
13641905506b76
142b2011359b3a
151497c29bb1a3
hexa4c31bf4dc8

11322368413128 has 96 divisors (see below), whose sum is σ = 31802746116960. Its totient is φ = 3773853763200.

The previous prime is 11322368413127. The next prime is 11322368413141. The reversal of 11322368413128 is 82131486322311.

11322368413128 is a `hidden beast` number, since 1 + 1 + 3 + 223 + 6 + 8 + 413 + 1 + 2 + 8 = 666.

11322368413128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11322368413127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28059603 + ... + 28460253.

It is an arithmetic number, because the mean of its divisors is an integer number (331278605385).

Almost surely, 211322368413128 is an apocalyptic number.

11322368413128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11322368413128 is an abundant number, since it is smaller than the sum of its proper divisors (20480377703832).

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

11322368413128 is a wasteful number, since it uses less digits than its factorization.

11322368413128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415209 (or 415193 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 11322368413128 in words is "eleven trillion, three hundred twenty-two billion, three hundred sixty-eight million, four hundred thirteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 14537 29074 43611 58148 87222 116296 130833 174444 261666 348888 392499 400651 523332 784998 801302 1046664 1177497 1201953 1569996 1602604 2354994 2403906 3139992 3205208 3532491 3605859 4709988 4807812 7064982 7211718 9419976 9615624 10817577 14129964 14423436 21635154 28259928 28846872 32452731 43270308 64905462 86540616 97358193 129810924 194716386 259621848 389432772 778865544 5824263587 11648527174 17472790761 23297054348 34945581522 46594108696 52418372283 69891163044 104836744566 139782326088 157255116849 209673489132 314510233698 419346978264 471765350547 629020467396 943530701094 1258040934792 1415296051641 1887061402188 2830592103282 3774122804376 5661184206564 11322368413128