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10434666801 = 3132609102551
BaseRepresentation
bin10011011011111010…
…00110000100110001
3222221012122222212210
421231331012010301
5132332233314201
64443231042333
7516403130046
oct115575060461
928835588783
1010434666801
114475108679
1220326703a9
13ca3a78c70
1470db8d1cd
1541111d1d6
hex26df46131

10434666801 has 16 divisors (see below), whose sum is σ = 14989000320. Its totient is φ = 6418809600.

The previous prime is 10434666797. The next prime is 10434666817. The reversal of 10434666801 is 10866643401.

10434666801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10434666801 - 22 = 10434666797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10434666801.

It is not an unprimeable number, because it can be changed into a prime (10434666821) 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 15 ways as a sum of consecutive naturals, for example, 50476 + ... + 153026.

It is an arithmetic number, because the mean of its divisors is an integer number (936812520).

Almost surely, 210434666801 is an apocalyptic number.

It is an amenable number.

10434666801 is a deficient number, since it is larger than the sum of its proper divisors (4554333519).

10434666801 is a wasteful number, since it uses less digits than its factorization.

10434666801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105176.

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 10434666801 in words is "ten billion, four hundred thirty-four million, six hundred sixty-six thousand, eight hundred one".

Divisors: 1 3 13 39 2609 7827 33917 101751 102551 307653 1333163 3999489 267555559 802666677 3478222267 10434666801