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120093213760 = 2651328868561
BaseRepresentation
bin110111111011000011…
…1010000010001000000
3102110222111120100201221
41233312013100101000
53431422330320020
6131100422204424
711451010321432
oct1576607202100
9373874510657
10120093213760
1146a27540a93
121b336b83714
13b42b5c3040
145b5388c652
1531cd2696aa
hex1bf61d0440

120093213760 has 56 divisors (see below), whose sum is σ = 307969819416. Its totient is φ = 44342108160.

The previous prime is 120093213733. The next prime is 120093213763. The reversal of 120093213760 is 67312390021.

It can be written as a sum of positive squares in 4 ways, for example, as 2372858944 + 117720354816 = 48712^2 + 343104^2 .

It is not an unprimeable number, because it can be changed into a prime (120093213763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14430121 + ... + 14438440.

It is an arithmetic number, because the mean of its divisors is an integer number (5499461061).

Almost surely, 2120093213760 is an apocalyptic number.

120093213760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120093213760 is an abundant number, since it is smaller than the sum of its proper divisors (187876605656).

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

120093213760 is a wasteful number, since it uses less digits than its factorization.

120093213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28868591 (or 28868581 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The spelling of 120093213760 in words is "one hundred twenty billion, ninety-three million, two hundred thirteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 28868561 57737122 115474244 144342805 230948488 288685610 375291293 461896976 577371220 750582586 923793952 1154742440 1501165172 1847587904 1876456465 2309484880 3002330344 3752912930 4618969760 6004660688 7505825860 9237939520 12009321376 15011651720 24018642752 30023303440 60046606880 120093213760