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120406399650 = 232521471718181
BaseRepresentation
bin111000000100011000…
…1111101101010100010
3102111210022212212000100
41300020301331222202
53433043014242100
6131151451003230
711461532340015
oct1601061755242
9374708785010
10120406399650
11470783011a9
121b403a39516
13b47b459834
145b832d537c
1531ea9d0400
hex1c08c7daa2

120406399650 has 72 divisors (see below), whose sum is σ = 323531635284. Its totient is φ = 32104425600.

The previous prime is 120406399643. The next prime is 120406399657. The reversal of 120406399650 is 56993604021.

120406399650 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 0 + 639 + 9 + 6 + 5 + 0 = 666.

120406399650 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 (120406399643) and next prime (120406399657).

It can be written as a sum of positive squares in 6 ways, for example, as 63106966521 + 57299433129 = 251211^2 + 239373^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 120406399596 and 120406399605.

It is not an unprimeable number, because it can be changed into a prime (120406399657) 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 35 ways as a sum of consecutive naturals, for example, 6613560 + ... + 6631740.

Almost surely, 2120406399650 is an apocalyptic number.

120406399650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120406399650 is an abundant number, since it is smaller than the sum of its proper divisors (203125235634).

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

120406399650 is a wasteful number, since it uses less digits than its factorization.

120406399650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32916 (or 32908 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 120406399650 in words is "one hundred twenty billion, four hundred six million, three hundred ninety-nine thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 14717 18181 29434 36362 44151 54543 73585 88302 90905 109086 132453 147170 163629 181810 220755 264906 272715 327258 367925 441510 454525 545430 662265 735850 818145 909050 1103775 1324530 1363575 1636290 2207550 2727150 3311325 4090725 6622650 8181450 267569777 535139554 802709331 1337848885 1605418662 2408127993 2675697770 4013546655 4816255986 6689244425 8027093310 12040639965 13378488850 20067733275 24081279930 40135466550 60203199825 120406399650