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10727876896 = 2511229133087
BaseRepresentation
bin10011111110110111…
…00110100100100000
31000200122101121111221
421333123212210200
5133432314030041
64532303344424
7526563310012
oct117733464440
930618347457
1010727876896
114605674770
1220b48b2114
13101c73a369
1473aab61b2
1542bc3a2d1
hex27f6e6920

10727876896 has 48 divisors (see below), whose sum is σ = 23141341440. Its totient is φ = 4854977280.

The previous prime is 10727876869. The next prime is 10727876899. The reversal of 10727876896 is 69867872701.

It is not an unprimeable number, because it can be changed into a prime (10727876899) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14065 + ... + 147151.

It is an arithmetic number, because the mean of its divisors is an integer number (482111280).

Almost surely, 210727876896 is an apocalyptic number.

10727876896 is a gapful number since it is divisible by the number (16) 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 10727876896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11570670720).

10727876896 is an abundant number, since it is smaller than the sum of its proper divisors (12413464544).

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

10727876896 is a wasteful number, since it uses less digits than its factorization.

10727876896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133337 (or 133329 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 61.

The spelling of 10727876896 in words is "ten billion, seven hundred twenty-seven million, eight hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 229 352 458 916 1832 2519 3664 5038 7328 10076 20152 40304 80608 133087 266174 532348 1064696 1463957 2129392 2927914 4258784 5855828 11711656 23423312 30476923 46846624 60953846 121907692 243815384 335246153 487630768 670492306 975261536 1340984612 2681969224 5363938448 10727876896