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10466774608 = 241754171129
BaseRepresentation
bin10011011111101111…
…00100111001010000
31000000110002020111211
421233313210321100
5132413443241413
64450335145504
7520243054603
oct115767447120
930013066454
1010466774608
114491248754
122041375294
13caa60b474
1471414a33a
15413d6183d
hex26fde4e50

10466774608 has 40 divisors (see below), whose sum is σ = 21512272680. Its totient is φ = 4916367360.

The previous prime is 10466774573. The next prime is 10466774623. The reversal of 10466774608 is 80647766401.

It can be written as a sum of positive squares in 4 ways, for example, as 1091113024 + 9375661584 = 33032^2 + 96828^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111588 + ... + 182716.

It is an arithmetic number, because the mean of its divisors is an integer number (537806817).

Almost surely, 210466774608 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 10466774608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10756136340).

10466774608 is an abundant number, since it is smaller than the sum of its proper divisors (11045498072).

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

10466774608 is a wasteful number, since it uses less digits than its factorization.

10466774608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71695 (or 71689 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The spelling of 10466774608 in words is "ten billion, four hundred sixty-six million, seven hundred seventy-four thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 541 1082 2164 4328 8656 9197 18394 36788 71129 73576 142258 147152 284516 569032 1138064 1209193 2418386 4836772 9673544 19347088 38480789 76961578 153923156 307846312 615692624 654173413 1308346826 2616693652 5233387304 10466774608