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133398796644 = 223410321972
BaseRepresentation
bin111110000111100110…
…0000001100101100100
3110202022210101000010000
41330033030001211210
54141200042443034
6141141011101300
712431514030321
oct1741714014544
9422283330100
10133398796644
1151635163383
1221a2aba1830
13c76c0989c9
146656a41b48
15370b42e599
hex1f0f301964

133398796644 has 135 divisors (see below), whose sum is σ = 353946046377. Its totient is φ = 43811028576.

The previous prime is 133398796637. The next prime is 133398796673. The reversal of 133398796644 is 446697893331.

The square root of 133398796644 is 365238.

It is a perfect power (a square), and thus also a powerful number.

133398796644 is a `hidden beast` number, since 133 + 398 + 79 + 6 + 6 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 130703940900 + 2694855744 = 361530^2 + 51912^2 .

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 677151154 + ... + 677151350.

Almost surely, 2133398796644 is an apocalyptic number.

133398796644 is the 365238-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133398796644

133398796644 is an abundant number, since it is smaller than the sum of its proper divisors (220547249733).

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

133398796644 is an equidigital number, since it uses as much as digits as its factorization.

133398796644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 305 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 133398796644 in words is "one hundred thirty-three billion, three hundred ninety-eight million, seven hundred ninety-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 162 197 206 309 324 394 412 591 618 788 927 1182 1236 1773 1854 2364 2781 3546 3708 5319 5562 7092 8343 10609 10638 11124 15957 16686 20291 21218 21276 31827 31914 33372 38809 40582 42436 60873 63654 63828 77618 81164 95481 116427 121746 127308 155236 182619 190962 232854 243492 286443 349281 365238 381924 465708 547857 572886 698562 730476 859329 1047843 1095714 1145772 1397124 1643571 1718658 2089973 2095686 2191428 3143529 3287142 3437316 3997327 4179946 4191372 6269919 6287058 6574284 7994654 8359892 11991981 12539838 12574116 15989308 18809757 23983962 25079676 35975943 37619514 47967924 56429271 71951886 75239028 107927829 112858542 143903772 169287813 215855658 225717084 323783487 338575626 411724681 431711316 647566974 677151252 823449362 1235174043 1295133948 1646898724 2470348086 3705522129 4940696172 7411044258 11116566387 14822088516 22233132774 33349699161 44466265548 66699398322 133398796644