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10422923427 = 3672431677
BaseRepresentation
bin10011011010100000…
…10011000010100011
3222220101120101000000
421231100103002203
5132321232022202
64442131231043
7516201246600
oct115520230243
928811511000
1010422923427
114469517704
12202a748483
13ca14c6a17
1470c3b36a7
1541009d91c
hex26d4130a3

10422923427 has 84 divisors (see below), whose sum is σ = 18247713696. Its totient is φ = 5933360160.

The previous prime is 10422923389. The next prime is 10422923491. The reversal of 10422923427 is 72432922401.

It is a happy number.

10422923427 is a `hidden beast` number, since 1 + 0 + 4 + 229 + 2 + 3 + 427 = 666.

It is not a de Polignac number, because 10422923427 - 27 = 10422923299 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10422923391 and 10422923400.

It is not an unprimeable number, because it can be changed into a prime (10422923627) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 15395413 + ... + 15396089.

Almost surely, 210422923427 is an apocalyptic number.

10422923427 is a deficient number, since it is larger than the sum of its proper divisors (7824790269).

10422923427 is an frugal number, since it uses more digits than its factorization.

10422923427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10422923427 in words is "ten billion, four hundred twenty-two million, nine hundred twenty-three thousand, four hundred twenty-seven".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 431 441 567 677 729 1293 1323 1701 2031 3017 3879 3969 4739 5103 6093 9051 11637 11907 14217 18279 21119 27153 33173 34911 35721 42651 54837 63357 81459 99519 104733 127953 164511 190071 244377 291787 298557 314199 383859 493533 570213 733131 875361 895671 1151577 1710639 2042509 2199393 2626083 2687013 3454731 5131917 6127527 7878249 8061039 14297563 15395751 18382581 23634747 24183117 42892689 55147743 70904241 128678067 165443229 212712723 386034201 496329687 1158102603 1488989061 3474307809 10422923427