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1268034906852 = 22327191153229693
BaseRepresentation
bin10010011100111100110…
…001010010101011100100
311111020000112101110211100
4102130330301102223210
5131233413414004402
62410305512440100
7160420041604110
oct22347461225344
94436015343740
101268034906852
1144985271363a
121859063a9030
139276288a53c
1445532170740
1522eb7a3171c
hex1273cc52ae4

1268034906852 has 144 divisors (see below), whose sum is σ = 3859373714560. Its totient is φ = 342928318464.

The previous prime is 1268034906799. The next prime is 1268034906881. The reversal of 1268034906852 is 2586094308621.

1268034906852 is a `hidden beast` number, since 1 + 26 + 80 + 3 + 490 + 6 + 8 + 52 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5405718 + ... + 5635410.

Almost surely, 21268034906852 is an apocalyptic number.

1268034906852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268034906852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929686857280).

1268034906852 is an abundant number, since it is smaller than the sum of its proper divisors (2591338807708).

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

1268034906852 is a wasteful number, since it uses less digits than its factorization.

1268034906852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230882 (or 230877 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1268034906852 in words is "one trillion, two hundred sixty-eight billion, thirty-four million, nine hundred six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1153 1197 1596 2306 2394 3459 4612 4788 6918 8071 10377 13836 16142 20754 21907 24213 32284 41508 43814 48426 65721 72639 87628 96852 131442 145278 153349 197163 229693 262884 290556 306698 394326 459386 460047 613396 689079 788652 918772 920094 1378158 1380141 1607851 1840188 2067237 2756316 2760282 3215702 4134474 4364167 4823553 5520564 6431404 8268948 8728334 9647106 13092501 14470659 17456668 19294212 26185002 28941318 30549169 39277503 52370004 57882636 61098338 78555006 91647507 122196676 157110012 183295014 264836029 274942521 366590028 529672058 549885042 794508087 1059344116 1099770084 1589016174 1853852203 2383524261 3178032348 3707704406 4767048522 5031884551 5561556609 7415408812 9534097044 10063769102 11123113218 15095653653 16684669827 20127538204 22246226436 30191307306 33369339654 35223191857 45286960959 60382614612 66738679308 70446383714 90573921918 105669575571 140892767428 181147843836 211339151142 317008726713 422678302284 634017453426 1268034906852