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27146020296 = 23323418913477
BaseRepresentation
bin11001010010000001…
…110110010111001000
32121001212000201020010
4121102001312113020
5421043340122141
620245401231520
71650463236213
oct312201662710
977055021203
1027146020296
111057024791a
1253171925a0
132738018205
1414573b277a
15a8d2ca416
hex6520765c8

27146020296 has 128 divisors (see below), whose sum is σ = 73363449600. Its totient is φ = 8348651520.

The previous prime is 27146020283. The next prime is 27146020313. The reversal of 27146020296 is 69202064172.

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, 2007510 + ... + 2020986.

It is an arithmetic number, because the mean of its divisors is an integer number (573151950).

Almost surely, 227146020296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27146020296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36681724800).

27146020296 is an abundant number, since it is smaller than the sum of its proper divisors (46217429304).

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

27146020296 is a wasteful number, since it uses less digits than its factorization.

27146020296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13639 (or 13635 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 27146020296 in words is "twenty-seven billion, one hundred forty-six million, twenty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 69 82 89 92 123 138 164 178 184 246 267 276 328 356 492 534 552 712 943 984 1068 1886 2047 2136 2829 3649 3772 4094 5658 6141 7298 7544 8188 10947 11316 12282 13477 14596 16376 21894 22632 24564 26954 29192 40431 43788 49128 53908 80862 83927 87576 107816 161724 167854 251781 309971 323448 335708 503562 552557 619942 671416 929913 1007124 1105114 1199453 1239884 1657671 1859826 2014248 2210228 2398906 2479768 3315342 3598359 3719652 4420456 4797812 6630684 7196718 7439304 9595624 12708811 13261368 14393436 25417622 27587419 28786872 38126433 49177573 50835244 55174838 76252866 82762257 98355146 101670488 110349676 147532719 152505732 165524514 196710292 220699352 295065438 305011464 331049028 393420584 590130876 662098056 1131084179 1180261752 2262168358 3393252537 4524336716 6786505074 9048673432 13573010148 27146020296