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276741385020 = 2232529377914029
BaseRepresentation
bin1000000011011110001…
…00100110101100111100
3222110022120201222002200
410001233010212230330
514013231243310040
6331044440151500
725664623650252
oct4015704465474
9873276658080
10276741385020
11a740232a651
1245774168590
1320134301a39
14d5741745d2
1572ea817630
hex406f126b3c

276741385020 has 144 divisors (see below), whose sum is σ = 868687092000. Its totient is φ = 71229021696.

The previous prime is 276741384961. The next prime is 276741385031. The reversal of 276741385020 is 20583147672.

276741385020 is a `hidden beast` number, since 2 + 7 + 6 + 7 + 4 + 138 + 502 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 19719366 + ... + 19733394.

It is an arithmetic number, because the mean of its divisors is an integer number (6032549250).

Almost surely, 2276741385020 is an apocalyptic number.

276741385020 is a gapful number since it is divisible by the number (20) 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 276741385020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434343546000).

276741385020 is an abundant number, since it is smaller than the sum of its proper divisors (591945706980).

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

276741385020 is a wasteful number, since it uses less digits than its factorization.

276741385020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17852 (or 17847 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 276741385020 in words is "two hundred seventy-six billion, seven hundred forty-one million, three hundred eighty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 3779 5220 7558 11337 14029 15116 18895 22674 28058 34011 37790 42087 45348 56116 56685 68022 70145 75580 84174 109591 113370 126261 136044 140290 168348 170055 210435 219182 226740 252522 280580 328773 340110 406841 420870 438364 505044 547955 631305 657546 680220 813682 841740 986319 1095910 1220523 1262610 1315092 1627364 1643865 1972638 2034205 2191820 2441046 2525220 3287730 3661569 3945276 4068410 4882092 4931595 6102615 6575460 7323138 8136820 9863190 12205230 14646276 18307845 19726380 24410460 36615690 53015591 73231380 106031182 159046773 212062364 265077955 318093546 477140319 530155910 636187092 795233865 954280638 1060311820 1537452139 1590467730 1908561276 2385701595 3074904278 3180935460 4612356417 4771403190 6149808556 7687260695 9224712834 9542806380 13837069251 15374521390 18449425668 23061782085 27674138502 30749042780 46123564170 55348277004 69185346255 92247128340 138370692510 276741385020