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10406890877 = 377310493673
BaseRepresentation
bin10011011000100110…
…01000110101111101
3222212021101211110212
421230103020311331
5132303131002002
64440355442205
7515615053505
oct115423106575
928767354425
1010406890877
114460467169
1220252b6365
13c9b0a23c6
1470a1dca05
1540d983352
hex26c4c8d7d

10406890877 has 16 divisors (see below), whose sum is σ = 10847852400. Its totient is φ = 9974679552.

The previous prime is 10406890847. The next prime is 10406890913. The reversal of 10406890877 is 77809860401.

It can be written as a sum of positive squares in 8 ways, for example, as 565060441 + 9841830436 = 23771^2 + 99206^2 .

It is a cyclic number.

It is not a de Polignac number, because 10406890877 - 210 = 10406889853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406890847) 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, 2831513 + ... + 2835185.

It is an arithmetic number, because the mean of its divisors is an integer number (677990775).

Almost surely, 210406890877 is an apocalyptic number.

It is an amenable number.

10406890877 is a deficient number, since it is larger than the sum of its proper divisors (440961523).

10406890877 is a wasteful number, since it uses less digits than its factorization.

10406890877 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832.

The product of its (nonzero) digits is 677376, while the sum is 50.

The spelling of 10406890877 in words is "ten billion, four hundred six million, eight hundred ninety thousand, eight hundred seventy-seven".

Divisors: 1 37 73 1049 2701 3673 38813 76577 135901 268129 2833349 3852977 9920773 142560149 281267321 10406890877