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272664678 = 2311132341337
BaseRepresentation
bin10000010000001…
…000100001100110
3201000001210121210
4100100020201212
51024300232203
643020052250
76520416516
oct2020104146
9630053553
10272664678
1112aa04010
1277394086
1344649960
14282d9846
1518e0e803
hex10408866

272664678 has 128 divisors (see below), whose sum is σ = 686859264. Its totient is φ = 70963200.

The previous prime is 272664671. The next prime is 272664713. The reversal of 272664678 is 876466272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272664671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 808926 + ... + 809262.

It is an arithmetic number, because the mean of its divisors is an integer number (5366088).

Almost surely, 2272664678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272664678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343429632).

272664678 is an abundant number, since it is smaller than the sum of its proper divisors (414194586).

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

272664678 is a wasteful number, since it uses less digits than its factorization.

272664678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430.

The product of its digits is 1354752, while the sum is 48.

The square root of 272664678 is about 16512.5612186602. The cubic root of 272664678 is about 648.4497002278.

The spelling of 272664678 in words is "two hundred seventy-two million, six hundred sixty-four thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 41 46 66 69 78 82 123 138 143 246 253 286 299 337 429 451 506 533 598 674 759 858 897 902 943 1011 1066 1353 1518 1599 1794 1886 2022 2706 2829 3198 3289 3707 4381 5658 5863 6578 7414 7751 8762 9867 10373 11121 11726 12259 13143 13817 15502 17589 19734 20746 22242 23253 24518 26286 27634 31119 35178 36777 41451 46506 48191 62238 73554 82902 85261 96382 100763 134849 144573 151987 170522 179621 201526 255783 269698 289146 302289 303974 317791 359242 404547 455961 511566 538863 604578 635582 809094 911922 953373 1077726 1108393 1906746 1975831 2216786 3325179 3495701 3951662 4131283 5927493 6650358 6991402 8262566 10487103 11854986 12393849 20974206 24787698 45444113 90888226 136332339 272664678