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10437840829 = 131753891133
BaseRepresentation
bin10011011100010010…
…01100111110111101
3222221102122020211101
421232021030332331
5132334041401304
64443423053101
7516442116553
oct115611147675
928842566741
1010437840829
114476986339
122033741191
13ca461a8a0
14710377bd3
154115488a4
hex26e24cfbd

10437840829 has 16 divisors (see below), whose sum is σ = 12126551472. Its totient is φ = 8897061888.

The previous prime is 10437840797. The next prime is 10437840869. The reversal of 10437840829 is 92804873401.

It can be written as a sum of positive squares in 8 ways, for example, as 629909604 + 9807931225 = 25098^2 + 99035^2 .

It is not a de Polignac number, because 10437840829 - 25 = 10437840797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10437840869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433854 + ... + 457279.

It is an arithmetic number, because the mean of its divisors is an integer number (757909467).

Almost surely, 210437840829 is an apocalyptic number.

It is an amenable number.

10437840829 is a deficient number, since it is larger than the sum of its proper divisors (1688710643).

10437840829 is a wasteful number, since it uses less digits than its factorization.

10437840829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891216.

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 10437840829 in words is "ten billion, four hundred thirty-seven million, eight hundred forty thousand, eight hundred twenty-nine".

Divisors: 1 13 17 53 221 689 901 11713 891133 11584729 15149261 47230049 196940393 613990637 802910833 10437840829