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9933121413324 = 22321696316265993
BaseRepresentation
bin1001000010001011110000…
…1011000110000011001100
31022011121010022101001001200
42100202330023012003030
52300221013040211244
633043114000505500
72043434002626114
oct220427413060314
938147108331050
109933121413324
11318a682099a8a
12114513231b290
135708c65c5705
14264aa0cc6044
151235b38aa669
hex908bc2c60cc

9933121413324 has 36 divisors (see below), whose sum is σ = 25110205321656. Its totient is φ = 3310845075648.

The previous prime is 9933121413181. The next prime is 9933121413329. The reversal of 9933121413324 is 4233141213399.

9933121413324 is a `hidden beast` number, since 9 + 9 + 3 + 312 + 1 + 4 + 1 + 3 + 324 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 9933121413324.

It is not an unprimeable number, because it can be changed into a prime (9933121413329) 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 11 ways as a sum of consecutive naturals, for example, 7522329 + ... + 8743664.

Almost surely, 29933121413324 is an apocalyptic number.

It is an amenable number.

9933121413324 is an abundant number, since it is smaller than the sum of its proper divisors (15177083908332).

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

9933121413324 is a wasteful number, since it uses less digits than its factorization.

9933121413324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16282966 (or 16282961 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The spelling of 9933121413324 in words is "nine trillion, nine hundred thirty-three billion, one hundred twenty-one million, four hundred thirteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 16963 33926 50889 67852 101778 152667 203556 305334 610668 16265993 32531986 48797979 65063972 97595958 146393937 195191916 292787874 585575748 275920039259 551840078518 827760117777 1103680157036 1655520235554 2483280353331 3311040471108 4966560706662 9933121413324