Search a number
-
+
120405456828 = 22336118276481
BaseRepresentation
bin111000000100010111…
…0010111011110111100
3102111210021002221201000
41300020232113132330
53433042244104303
6131151414450300
711461521332166
oct1601056273674
9374707087630
10120405456828
1147077817908
121b403663990
13b47b1b9657
145b8312b936
1531ea895da3
hex1c08b977bc

120405456828 has 48 divisors (see below), whose sum is σ = 317279727520. Its totient is φ = 39477196800.

The previous prime is 120405456799. The next prime is 120405456839. The reversal of 120405456828 is 828654504021.

120405456828 is a `hidden beast` number, since 1 + 2 + 0 + 40 + 545 + 68 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9131653 + ... + 9144828.

Almost surely, 2120405456828 is an apocalyptic number.

120405456828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120405456828 is an abundant number, since it is smaller than the sum of its proper divisors (196874270692).

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

120405456828 is a wasteful number, since it uses less digits than its factorization.

120405456828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18276555 (or 18276547 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 120405456828 in words is "one hundred twenty billion, four hundred five million, four hundred fifty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1647 2196 3294 6588 18276481 36552962 54829443 73105924 109658886 164488329 219317772 328976658 493464987 657953316 986929974 1114865341 1973859948 2229730682 3344596023 4459461364 6689192046 10033788069 13378384092 20067576138 30101364207 40135152276 60202728414 120405456828