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27074809860 = 22357220694451
BaseRepresentation
bin11001001101110010…
…001101000000000100
32120212220000211212120
4121031302031000010
5420422122403420
620234335045540
71645640041500
oct311562150004
976786024776
1027074809860
111053402a41a
1252b73708b0
132726344767
14144bb57300
15a86e10d40
hex64dc8d004

27074809860 has 144 divisors (see below), whose sum is σ = 88248968640. Its totient is φ = 6184147200.

The previous prime is 27074809787. The next prime is 27074809871. The reversal of 27074809860 is 6890847072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6080635 + ... + 6085085.

It is an arithmetic number, because the mean of its divisors is an integer number (612840060).

Almost surely, 227074809860 is an apocalyptic number.

27074809860 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 27074809860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44124484320).

27074809860 is an abundant number, since it is smaller than the sum of its proper divisors (61174158780).

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

27074809860 is a wasteful number, since it uses less digits than its factorization.

27074809860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6546 (or 6537 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 27074809860 in words is "twenty-seven billion, seventy-four million, eight hundred nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2069 2940 4138 4451 6207 8276 8902 10345 12414 13353 14483 17804 20690 22255 24828 26706 28966 31035 31157 41380 43449 44510 53412 57932 62070 62314 66765 72415 86898 89020 93471 101381 124140 124628 133530 144830 155785 173796 186942 202762 217245 218099 267060 289660 304143 311570 373884 405524 434490 436198 467355 506905 608286 623140 654297 868980 872396 934710 1013810 1090495 1216572 1308594 1520715 1869420 2027620 2180990 2617188 3041430 3271485 4361980 6082860 6542970 9209119 13085940 18418238 27627357 36836476 46045595 55254714 64463833 92091190 110509428 128927666 138136785 184182380 193391499 257855332 276273570 322319165 386782998 451246831 552547140 644638330 773565996 902493662 966957495 1289276660 1353740493 1804987324 1933914990 2256234155 2707480986 3867829980 4512468310 5414961972 6768702465 9024936620 13537404930 27074809860