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22045670710137 = 3214931640669101
BaseRepresentation
bin1010000001100111010000…
…10111110001101101111001
32220001112201200210211000200
411000303220113301231321
510342144013200211022
6114515350304552413
74433514162116244
oct500635027615571
986045650724020
1022045670710137
11702a575428368
122580722622709
13c3bb896b1939
1456303248c25b
152836d25dabac
hex140ce85f1b79

22045670710137 has 12 divisors (see below), whose sum is σ = 31865075299044. Its totient is φ = 14687269783200.

The previous prime is 22045670710121. The next prime is 22045670710237. The reversal of 22045670710137 is 73101707654022.

22045670710137 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 567 + 0 + 71 + 0 + 13 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12846891073536 + 9198779636601 = 3584256^2 + 3032949^2 .

It is not a de Polignac number, because 22045670710137 - 24 = 22045670710121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22045670710092 and 22045670710101.

It is not an unprimeable number, because it can be changed into a prime (22045670710237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 820321114 + ... + 820347987.

It is an arithmetic number, because the mean of its divisors is an integer number (2655422941587).

Almost surely, 222045670710137 is an apocalyptic number.

It is an amenable number.

22045670710137 is a deficient number, since it is larger than the sum of its proper divisors (9819404588907).

22045670710137 is a wasteful number, since it uses less digits than its factorization.

22045670710137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640670600 (or 1640670597 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 22045670710137 in words is "twenty-two trillion, forty-five billion, six hundred seventy million, seven hundred ten thousand, one hundred thirty-seven".

Divisors: 1 3 9 1493 4479 13437 1640669101 4922007303 14766021909 2449518967793 7348556903379 22045670710137