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121533178968 = 23323154450349
BaseRepresentation
bin111000100101111110…
…0010010010001011000
3102121200212010011122200
41301023330102101120
53442344443211333
6131455341450200
711531463655635
oct1611374222130
9377625104580
10121533178968
11475a6347183
121b679270960
13b5caa25566
145c4cc0518c
1532648a5c13
hex1c4bf12458

121533178968 has 48 divisors (see below), whose sum is σ = 339770184000. Its totient is φ = 39204250560.

The previous prime is 121533178967. The next prime is 121533178969. The reversal of 121533178968 is 869871335121.

121533178968 is a `hidden beast` number, since 1 + 2 + 1 + 533 + 17 + 8 + 96 + 8 = 666.

121533178968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121533178967) and next prime (121533178969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121533178961) 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, 27222943 + ... + 27227406.

It is an arithmetic number, because the mean of its divisors is an integer number (7078545500).

Almost surely, 2121533178968 is an apocalyptic number.

121533178968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121533178968 is an abundant number, since it is smaller than the sum of its proper divisors (218237005032).

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

121533178968 is a wasteful number, since it uses less digits than its factorization.

121533178968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54450392 (or 54450385 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 121533178968 in words is "one hundred twenty-one billion, five hundred thirty-three million, one hundred seventy-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 54450349 108900698 163351047 217801396 326702094 435602792 490053141 653404188 980106282 1306808376 1687960819 1960212564 3375921638 3920425128 5063882457 6751843276 10127764914 13503686552 15191647371 20255529828 30383294742 40511059656 60766589484 121533178968