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11376671686380 = 2232571113193323189
BaseRepresentation
bin1010010110001101011001…
…1110010111111011101100
31111021121011210212221002200
42211203112132113323230
52442343410422431010
640110212033021500
72252636346532230
oct245432636277354
944247153787080
1011376671686380
113696901639a80
121338a603b4890
13646a7a970c10
142b48c33c65c0
1514ae0003ecc0
hexa58d6797eec

11376671686380 has 576 divisors, whose sum is σ = 48772731571200. Its totient is φ = 2067288791040.

The previous prime is 11376671686379. The next prime is 11376671686411. The reversal of 11376671686380 is 8368617667311.

It is a happy number.

11376671686380 is a `hidden beast` number, since 1 + 1 + 37 + 6 + 67 + 168 + 6 + 380 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1761826 + ... + 5085014.

It is an arithmetic number, because the mean of its divisors is an integer number (84674881200).

Almost surely, 211376671686380 is an apocalyptic number.

11376671686380 is a gapful number since it is divisible by the number (10) 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 11376671686380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24386365785600).

11376671686380 is an abundant number, since it is smaller than the sum of its proper divisors (37396059884820).

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

11376671686380 is a wasteful number, since it uses less digits than its factorization.

11376671686380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323254 (or 3323249 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 11376671686380 in words is "eleven trillion, three hundred seventy-six billion, six hundred seventy-one million, six hundred eighty-six thousand, three hundred eighty".