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276403912640 = 26518117592713
BaseRepresentation
bin1000000010110101111…
…01001111111111000000
3222102110001201121000122
410001122331033333000
514012033400201030
6330551143035412
725653355330622
oct4013275177700
9872401647018
10276403912640
11a7249891659
124569b13bb68
13200ac413a3b
14d541408c12
1572cada58e5
hex405af4ffc0

276403912640 has 112 divisors (see below), whose sum is σ = 662443541760. Its totient is φ = 109847715840.

The previous prime is 276403912633. The next prime is 276403912643. The reversal of 276403912640 is 46219304672.

276403912640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 276403912591 and 276403912600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276403912643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101879924 + ... + 101882636.

It is an arithmetic number, because the mean of its divisors is an integer number (5914674480).

Almost surely, 2276403912640 is an apocalyptic number.

276403912640 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 276403912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331221770880).

276403912640 is an abundant number, since it is smaller than the sum of its proper divisors (386039629120).

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

276403912640 is a wasteful number, since it uses less digits than its factorization.

276403912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 276403912640 in words is "two hundred seventy-six billion, four hundred three million, nine hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 181 320 362 724 905 1448 1759 1810 2713 2896 3518 3620 5426 5792 7036 7240 8795 10852 11584 13565 14072 14480 17590 21704 27130 28144 28960 35180 43408 54260 56288 57920 70360 86816 108520 112576 140720 173632 217040 281440 318379 434080 491053 562880 636758 868160 982106 1273516 1591895 1964212 2455265 2547032 3183790 3928424 4772167 4910530 5094064 6367580 7856848 9544334 9821060 10188128 12735160 15713696 19088668 19642120 20376256 23860835 25470320 31427392 38177336 39284240 47721670 50940640 76354672 78568480 95443340 101881280 152709344 157136960 190886680 305418688 381773360 763546720 863762227 1527093440 1727524454 3455048908 4318811135 6910097816 8637622270 13820195632 17275244540 27640391264 34550489080 55280782528 69100978160 138201956320 276403912640