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10364345464 = 2311538572593
BaseRepresentation
bin10011010011100001…
…10101110001111000
3222202022100022010211
421221300311301320
5132211233023324
64432235520504
7514560324424
oct115160656170
928668308124
1010364345464
114439448170
122012bb9134
13c923270c5
147046c5b84
15409d7c294
hex269c35c78

10364345464 has 64 divisors (see below), whose sum is σ = 21633337440. Its totient is φ = 4615004160.

The previous prime is 10364345449. The next prime is 10364345521. The reversal of 10364345464 is 46454346301.

10364345464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3995752 + ... + 3998344.

Almost surely, 210364345464 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 10364345464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10816668720).

10364345464 is an abundant number, since it is smaller than the sum of its proper divisors (11268991976).

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

10364345464 is a wasteful number, since it uses less digits than its factorization.

10364345464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 10364345464 in words is "ten billion, three hundred sixty-four million, three hundred forty-five thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 53 88 106 212 424 583 857 1166 1714 2332 2593 3428 4664 5186 6856 9427 10372 18854 20744 28523 37708 45421 57046 75416 90842 114092 137429 181684 228184 274858 363368 499631 549716 999262 1099432 1511719 1998524 2222201 3023438 3997048 4444402 6046876 8888804 12093752 17777608 24444211 48888422 97776844 117776653 195553688 235553306 471106612 942213224 1295543183 2591086366 5182172732 10364345464