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20246166181476 = 2232732102732
BaseRepresentation
bin1001001101001111011011…
…00010110001011001100100
32122200111220010120012110100
410212213231202301121210
510123203122020301401
6111020543233424100
74156510605031104
oct446475542613144
978614803505410
1020246166181476
1164a6394aa1724
12232ba1410b030
13b3b288cc7451
144ddcc3817204
152519b1303b86
hex1269ed8b1664

20246166181476 has 81 divisors (see below), whose sum is σ = 51893529925419. Its totient is φ = 6655625874432.

The previous prime is 20246166181471. The next prime is 20246166181477. The reversal of 20246166181476 is 67418166164202.

The square root of 20246166181476 is 4499574.

It is a perfect power (a square), and thus also a powerful number.

20246166181476 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 6 + 1 + 6 + 618 + 14 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1000748139876 + 19245418041600 = 1000374^2 + 4386960^2 .

It is not an unprimeable number, because it can be changed into a prime (20246166181471) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1970808276 + ... + 1970818548.

Almost surely, 220246166181476 is an apocalyptic number.

20246166181476 is the 4499574-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20246166181476

20246166181476 is an abundant number, since it is smaller than the sum of its proper divisors (31647363743943).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20246166181476 is an frugal number, since it uses more digits than its factorization.

20246166181476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20702 (or 10351 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 20246166181476 in words is "twenty trillion, two hundred forty-six billion, one hundred sixty-six million, one hundred eighty-one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 5329 10273 10658 15987 20546 21316 30819 31974 41092 47961 61638 63948 92457 95922 123276 184914 191844 369828 749929 1499858 2249787 2999716 4499574 6749361 8999148 13498722 26997444 54744817 105534529 109489634 164234451 211069058 218979268 316603587 328468902 422138116 492703353 633207174 656937804 949810761 985406706 1266414348 1899621522 1970813412 3799243044 7704020617 15408041234 23112061851 30816082468 46224123702 69336185553 92448247404 138672371106 277344742212 562393505041 1124787010082 1687180515123 2249574020164 3374361030246 5061541545369 6748722060492 10123083090738 20246166181476