Search a number
-
+
276099278664 = 233113164152631
BaseRepresentation
bin1000000010010001100…
…11001010011101001000
3222101122211111120202210
410001020303022131020
514010422403404124
6330501021425120
725642666101126
oct4011063123510
9871584446683
10276099278664
11a7102932640
124561510b1a0
1320061282951
14d512b8a916
1572ae27da29
hex4048cca748

276099278664 has 128 divisors (see below), whose sum is σ = 778515701760. Its totient is φ = 80839680000.

The previous prime is 276099278647. The next prime is 276099278671. The reversal of 276099278664 is 466872990672.

It is a super-2 number, since 2×2760992786642 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 276099278595 and 276099278604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5219629 + ... + 5272259.

It is an arithmetic number, because the mean of its divisors is an integer number (6082153920).

Almost surely, 2276099278664 is an apocalyptic number.

276099278664 is a gapful number since it is divisible by the number (24) 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 276099278664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389257850880).

276099278664 is an abundant number, since it is smaller than the sum of its proper divisors (502416423096).

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

276099278664 is a wasteful number, since it uses less digits than its factorization.

276099278664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53323 (or 53319 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 66.

The spelling of 276099278664 in words is "two hundred seventy-six billion, ninety-nine million, two hundred seventy-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 641 682 744 1023 1282 1364 1923 2046 2564 2728 3846 4092 5128 7051 7692 8184 14102 15384 19871 21153 28204 39742 42306 52631 56408 59613 79484 84612 105262 119226 157893 158968 169224 210524 218581 238452 315786 421048 437162 476904 578941 631572 655743 874324 1157882 1263144 1311486 1631561 1736823 1748648 2315764 2622972 3263122 3473646 4631528 4894683 5245944 6526244 6947292 9789366 13052488 13894584 17947171 19578732 33736471 35894342 39157464 53841513 67472942 71788684 101209413 107683026 134945884 143577368 202418826 215366052 269891768 371101181 404837652 430732104 742202362 809675304 1045830601 1113303543 1484404724 2091661202 2226607086 2968809448 3137491803 4183322404 4453214172 6274983606 8366644808 8906428344 11504136611 12549967212 23008273222 25099934424 34512409833 46016546444 69024819666 92033092888 138049639332 276099278664