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134773768272 = 243111331633383
BaseRepresentation
bin111110110000100100…
…1001000000001010000
3110212212121121210121010
41331201021020001100
54202004041041042
6141525245330520
712510551062053
oct1754111100120
9425777553533
10134773768272
1152180307970
1222153566a40
13c92abc33a0
1467474baa9a
15378becd59c
hex1f61248050

134773768272 has 160 divisors (see below), whose sum is σ = 422228975616. Its totient is φ = 36482803200.

The previous prime is 134773768271. The next prime is 134773768277. The reversal of 134773768272 is 272867377431.

It is a super-2 number, since 2×1347737682722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134773768271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103908 + ... + 529475.

Almost surely, 2134773768272 is an apocalyptic number.

134773768272 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 134773768272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211114487808).

134773768272 is an abundant number, since it is smaller than the sum of its proper divisors (287455207344).

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

134773768272 is a wasteful number, since it uses less digits than its factorization.

134773768272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633449 (or 633443 counting only the distinct ones).

The product of its digits is 16595712, while the sum is 57.

The spelling of 134773768272 in words is "one hundred thirty-four billion, seven hundred seventy-three million, seven hundred sixty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 31 33 39 44 48 52 62 66 78 88 93 104 124 132 143 156 176 186 208 248 264 286 312 341 372 403 429 496 528 572 624 682 744 806 858 1023 1144 1209 1364 1488 1612 1716 2046 2288 2418 2728 3224 3432 4092 4433 4836 5456 6448 6864 8184 8866 9672 13299 16368 17732 19344 26598 35464 53196 70928 106392 212784 633383 1266766 1900149 2533532 3800298 5067064 6967213 7600596 8233979 10134128 13934426 15201192 16467958 19634873 20901639 24701937 27868852 30402384 32935916 39269746 41803278 49403874 55737704 58904619 65871832 78539492 83606556 90573769 98807748 111475408 117809238 131743664 157078984 167213112 181147538 197615496 215983603 235618476 255253349 271721307 314157968 334426224 362295076 395230992 431967206 471236952 510506698 543442614 647950809 724590152 765760047 863934412 942473904 1021013396 1086885228 1295901618 1449180304 1531520094 1727868824 2042026792 2173770456 2591803236 2807786839 3063040188 3455737648 4084053584 4347540912 5183606472 5615573678 6126080376 8423360517 10367212944 11231147356 12252160752 16846721034 22462294712 33693442068 44924589424 67386884136 134773768272