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10348218076 = 227373277373
BaseRepresentation
bin10011010001100110…
…10100011011011100
3222201011222221112011
421220303110123130
5132143120434301
64430502121004
7514303255000
oct115063243334
928634887464
1010348218076
114430332449
122009720164
13c8bb9b581
147024c8700
15408743a51
hex268cd46dc

10348218076 has 96 divisors (see below), whose sum is σ = 21542998400. Its totient is φ = 4346721792.

The previous prime is 10348218073. The next prime is 10348218077. The reversal of 10348218076 is 67081284301.

10348218076 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 not an unprimeable number, because it can be changed into a prime (10348218073) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27743026 + ... + 27743398.

Almost surely, 210348218076 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 10348218076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771499200).

10348218076 is an abundant number, since it is smaller than the sum of its proper divisors (11194780324).

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

10348218076 is a wasteful number, since it uses less digits than its factorization.

10348218076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 10348218076 in words is "ten billion, three hundred forty-eight million, two hundred eighteen thousand, seventy-six".

Divisors: 1 2 4 7 14 28 49 73 98 146 196 277 292 343 373 511 554 686 746 1022 1108 1372 1492 1939 2044 2611 3577 3878 5222 7154 7756 10444 13573 14308 18277 20221 25039 27146 27229 36554 40442 50078 54292 54458 73108 80884 95011 100156 103321 108916 127939 141547 190022 190603 206642 255878 283094 380044 381206 413284 511756 566188 723247 762412 990829 1334221 1446494 1981658 2668442 2892988 3963316 5062729 5336884 6935803 7542433 9339547 10125458 13871606 15084866 18679094 20250916 27743212 30169732 35439103 37358188 52797031 70878206 105594062 141756412 211188124 369579217 739158434 1478316868 2587054519 5174109038 10348218076