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27294950046 = 23713294736677
BaseRepresentation
bin11001011010111001…
…111110001010011110
32121110020021010102210
4121122321332022132
5421400001400141
620312241301250
71654252150560
oct313271761236
977406233383
1027294950046
1110637318a61
125359034826
13275cb30c20
14146d09d330
15a9b3e7916
hex65ae7e29e

27294950046 has 128 divisors (see below), whose sum is σ = 70985134080. Its totient is φ = 6802371072.

The previous prime is 27294949963. The next prime is 27294950051. The reversal of 27294950046 is 64005949272.

It is a junction number, because it is equal to n+sod(n) for n = 27294949977 and 27294950004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 725860 + ... + 762536.

It is an arithmetic number, because the mean of its divisors is an integer number (554571360).

Almost surely, 227294950046 is an apocalyptic number.

27294950046 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27294950046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35492567040).

27294950046 is an abundant number, since it is smaller than the sum of its proper divisors (43690184034).

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

27294950046 is a wasteful number, since it uses less digits than its factorization.

27294950046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36778.

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 27294950046 in words is "twenty-seven billion, two hundred ninety-four million, nine hundred fifty thousand, forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 47 58 78 87 91 94 141 174 182 203 273 282 329 377 406 546 609 611 658 754 987 1131 1218 1222 1363 1833 1974 2262 2639 2726 3666 4089 4277 5278 7917 8178 8554 9541 12831 15834 17719 19082 25662 28623 35438 36677 53157 57246 73354 106314 110031 124033 220062 248066 256739 372099 476801 513478 744198 770217 953602 1063633 1430403 1540434 1723819 2127266 2860806 3190899 3337607 3447638 5171457 6381798 6675214 7445431 10012821 10342914 12066733 13827229 14890862 20025642 22336293 22409647 24133466 27654458 36200199 41481687 44672586 44819294 49990751 67228941 72400398 82963374 96790603 99981502 134457882 149972253 156867529 193581206 290371809 299944506 313735058 349935257 470602587 580743618 649879763 699870514 941205174 1049805771 1299759526 1949639289 2099611542 3899278578 4549158341 9098316682 13647475023 27294950046