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2122411364208 = 243337331674159
BaseRepresentation
bin11110111000101001100…
…100110100111101110000
321111220022111102110022000
4132320221210310331300
5234233144302123313
64303004453214000
7306224221634562
oct36705144647560
97456274373260
102122411364208
1174912297a593
122a3407331300
131251b11b5b65
1474a22173332
153a31ea01673
hex1ee29934f70

2122411364208 has 160 divisors (see below), whose sum is σ = 6111837388800. Its totient is φ = 705181365504.

The previous prime is 2122411364207. The next prime is 2122411364231. The reversal of 2122411364208 is 8024631142212.

2122411364208 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 4 + 1 + 1 + 3 + 642 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122411364207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510315633 + ... + 510319791.

It is an arithmetic number, because the mean of its divisors is an integer number (38198983680).

Almost surely, 22122411364208 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 2122411364208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055918694400).

2122411364208 is an abundant number, since it is smaller than the sum of its proper divisors (3989426024592).

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

2122411364208 is a wasteful number, since it uses less digits than its factorization.

2122411364208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7716 (or 7704 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2122411364208 in words is "two trillion, one hundred twenty-two billion, four hundred eleven million, three hundred sixty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 373 432 746 1119 1492 2238 2984 3167 3357 4159 4476 5968 6334 6714 8318 8952 9501 10071 12477 12668 13428 16636 17904 19002 20142 24954 25336 26856 28503 33272 37431 38004 40284 49908 50672 53712 57006 66544 74862 76008 80568 85509 99816 112293 114012 149724 152016 161136 171018 199632 224586 228024 299448 342036 449172 456048 598896 684072 898344 1181291 1368144 1551307 1796688 2362582 3102614 3543873 4653921 4725164 6205228 7087746 9307842 9450328 10631619 12410456 13171553 13961763 14175492 18615684 18900656 21263238 24820912 26343106 27923526 28350984 31894857 37231368 39514659 41885289 42526476 52686212 55847052 56701968 63789714 74462736 79029318 83770578 85052952 105372424 111694104 118543977 127579428 158058636 167541156 170105904 210744848 223388208 237087954 255158856 316117272 335082312 355631931 474175908 510317712 632234544 670164624 711263862 948351816 1422527724 1896703632 2845055448 4912989269 5690110896 9825978538 14738967807 19651957076 29477935614 39303914152 44216903421 58955871228 78607828304 88433806842 117911742456 132650710263 176867613684 235823484912 265301420526 353735227368 530602841052 707470454736 1061205682104 2122411364208