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120160071456 = 2533697338563
BaseRepresentation
bin110111111101000011…
…0010010111100100000
3102111011011101002020220
41233322012102330200
53432041434241311
6131111211203040
711452451520015
oct1577206227440
9374134332226
10120160071456
1146a61256187
121b355446480
13b43c4014c9
145b5c6d370c
1531d4074206
hex1bfa192f20

120160071456 has 48 divisors (see below), whose sum is σ = 315506437344. Its totient is φ = 40042404864.

The previous prime is 120160071403. The next prime is 120160071467. The reversal of 120160071456 is 654170061021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1201600714562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185631 + ... + 524193.

It is an arithmetic number, because the mean of its divisors is an integer number (6573050778).

Almost surely, 2120160071456 is an apocalyptic number.

120160071456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120160071456 is an abundant number, since it is smaller than the sum of its proper divisors (195346365888).

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

120160071456 is a wasteful number, since it uses less digits than its factorization.

120160071456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342273 (or 342265 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 120160071456 in words is "one hundred twenty billion, one hundred sixty million, seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3697 7394 11091 14788 22182 29576 44364 59152 88728 118304 177456 338563 354912 677126 1015689 1354252 2031378 2708504 4062756 5417008 8125512 10834016 16251024 32502048 1251667411 2503334822 3755002233 5006669644 7510004466 10013339288 15020008932 20026678576 30040017864 40053357152 60080035728 120160071456