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120664894284 = 2232111037693847
BaseRepresentation
bin111000001100000110…
…0000010101101001100
3102112110100021201222200
41300120030002231030
53434110203104114
6131233243241500
711501121451464
oct1603014025514
9375410251880
10120664894284
11471a0207030
121b476519290
13b4bcb8483c
145ba9782ba4
153213541409
hex1c18302b4c

120664894284 has 144 divisors (see below), whose sum is σ = 336497441280. Its totient is φ = 36153630720.

The previous prime is 120664894277. The next prime is 120664894289. The reversal of 120664894284 is 482498466021.

It is a happy number.

120664894284 is a `hidden beast` number, since 1 + 20 + 66 + 489 + 4 + 2 + 84 = 666.

120664894284 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 120664894284.

It is not an unprimeable number, because it can be changed into a prime (120664894289) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31364049 + ... + 31367895.

Almost surely, 2120664894284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120664894284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168248720640).

120664894284 is an abundant number, since it is smaller than the sum of its proper divisors (215832546996).

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

120664894284 is a wasteful number, since it uses less digits than its factorization.

120664894284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4740 (or 4735 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 120664894284 in words is "one hundred twenty billion, six hundred sixty-four million, eight hundred ninety-four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 103 132 198 206 309 396 412 618 769 927 1133 1236 1538 1854 2266 2307 3076 3399 3708 3847 4532 4614 6798 6921 7694 8459 9228 10197 11541 13596 13842 15388 16918 20394 23082 25377 27684 33836 34623 40788 42317 46164 50754 69246 76131 79207 84634 101508 126951 138492 152262 158414 169268 237621 253902 304524 316828 380853 396241 475242 507804 712863 761706 792482 871277 950484 1188723 1425726 1523412 1584964 1742554 2377446 2613831 2851452 2958343 3485108 3566169 4358651 4754892 5227662 5916686 7132338 7841493 8717302 8875029 10455324 11833372 13075953 14264676 15682986 17434604 17750058 26151906 26625087 31365972 32541773 35500116 39227859 52303812 53250174 65083546 78455718 97625319 106500348 130167092 156911436 195250638 292875957 304709329 390501276 585751914 609418658 914127987 1171503828 1218837316 1828255974 2742383961 3351802619 3656511948 5484767922 6703605238 10055407857 10969535844 13407210476 20110815714 30166223571 40221631428 60332447142 120664894284