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9094129312 = 25412293577
BaseRepresentation
bin10000111100000110…
…10110011010100000
3212110210012122011011
420132003112122200
5122111044114222
64102222430304
7441234552352
oct103603263240
925423178134
109094129312
113947442a54
121919732394
13b1c119908
14623b190d2
153835c1c77
hex21e0d66a0

9094129312 has 72 divisors (see below), whose sum is σ = 18445948668. Its totient is φ = 4413358080.

The previous prime is 9094129301. The next prime is 9094129361. The reversal of 9094129312 is 2139214909.

It can be written as a sum of positive squares in 6 ways, for example, as 5114538256 + 3979591056 = 71516^2 + 63084^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15760768 + ... + 15761344.

Almost surely, 29094129312 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 9094129312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9222974334).

9094129312 is an abundant number, since it is smaller than the sum of its proper divisors (9351819356).

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

9094129312 is a wasteful number, since it uses less digits than its factorization.

9094129312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 9094129312 is about 95363.1444112452. The cubic root of 9094129312 is about 2087.3104229432.

The spelling of 9094129312 in words is "nine billion, ninety-four million, one hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 41 82 164 293 328 577 586 656 1154 1172 1312 1681 2308 2344 3362 4616 4688 6724 9232 9376 12013 13448 18464 23657 24026 26896 47314 48052 53792 94628 96104 169061 189256 192208 338122 378512 384416 492533 676244 757024 969937 985066 1352488 1939874 1970132 2704976 3879748 3940264 5409952 6931501 7759496 7880528 13863002 15518992 15761056 27726004 31037984 55452008 110904016 221808032 284191541 568383082 1136766164 2273532328 4547064656 9094129312