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10416086745 = 35172911031277
BaseRepresentation
bin10011011001101100…
…01101111011011001
3222212220201000211120
421230312031323121
5132313004233440
64441324515453
7516056163561
oct115466157331
928786630746
1010416086745
114465678159
1220283abb89
13c9cc71c4c
1470b513da1
1540e69cdd0
hex26cd8ded9

10416086745 has 64 divisors (see below), whose sum is σ = 18285419520. Its totient is φ = 5039648768.

The previous prime is 10416086741. The next prime is 10416086753. The reversal of 10416086745 is 54768061401.

It is not a de Polignac number, because 10416086745 - 22 = 10416086741 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10416086697 and 10416086706.

It is not an unprimeable number, because it can be changed into a prime (10416086741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8156047 + ... + 8157323.

It is an arithmetic number, because the mean of its divisors is an integer number (285709680).

Almost surely, 210416086745 is an apocalyptic number.

10416086745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10416086745 is a deficient number, since it is larger than the sum of its proper divisors (7869332775).

10416086745 is a wasteful number, since it uses less digits than its factorization.

10416086745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434.

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 10416086745 in words is "ten billion, four hundred sixteen million, eighty-six thousand, seven hundred forty-five".

Divisors: 1 3 5 15 17 29 51 85 87 145 255 435 493 1103 1277 1479 2465 3309 3831 5515 6385 7395 16545 18751 19155 21709 31987 37033 56253 65127 93755 95961 108545 111099 159935 185165 281265 325635 479805 543779 555495 629561 1408531 1631337 1888683 2718895 3147805 4225593 7042655 8156685 9443415 21127965 23945027 40847399 71835081 119725135 122542197 204236995 359175405 612710985 694405783 2083217349 3472028915 10416086745