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120293868384 = 25323711288839
BaseRepresentation
bin111000000001000010…
…0101100001101100000
3102111111111010200010200
41300002010230031200
53432330212242014
6131132351025200
711455665003354
oct1600204541540
9374444120120
10120293868384
114701a830858
121b39220b200
13b4610492a1
145b723a1464
1531e0ba2a09
hex1c0212c360

120293868384 has 72 divisors (see below), whose sum is σ = 351331278480. Its totient is φ = 39014224128.

The previous prime is 120293868371. The next prime is 120293868391. The reversal of 120293868384 is 483868392021.

120293868384 is a `hidden beast` number, since 120 + 293 + 86 + 83 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1202938683842 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120293868384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5633764 + ... + 5655075.

It is an arithmetic number, because the mean of its divisors is an integer number (4879601090).

Almost surely, 2120293868384 is an apocalyptic number.

It is an amenable number.

120293868384 is an abundant number, since it is smaller than the sum of its proper divisors (231037410096).

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

120293868384 is a wasteful number, since it uses less digits than its factorization.

120293868384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11288892 (or 11288881 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 120293868384 in words is "one hundred twenty billion, two hundred ninety-three million, eight hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 11288839 22577678 33866517 45155356 67733034 90310712 101599551 135466068 180621424 203199102 270932136 361242848 406398204 417687043 541864272 812796408 835374086 1083728544 1253061129 1625592816 1670748172 2506122258 3251185632 3341496344 3759183387 5012244516 6682992688 7518366774 10024489032 13365985376 15036733548 20048978064 30073467096 40097956128 60146934192 120293868384