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42773204952 = 2333198024097
BaseRepresentation
bin100111110101011110…
…110100111111011000
311002101221022221112000
4213311132310333120
51200044420024302
631352202121000
73042650146302
oct476536647730
9132357287460
1042773204952
111715a3a4a65
1283587b0160
13405878a53a
1420daa18972
1511a51cc31c
hex9f57b4fd8

42773204952 has 32 divisors (see below), whose sum is σ = 118814458800. Its totient is φ = 14257734912.

The previous prime is 42773204917. The next prime is 42773204963. The reversal of 42773204952 is 25940237724.

42773204952 is a `hidden beast` number, since 4 + 277 + 320 + 4 + 9 + 52 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42773204898 and 42773204907.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 99011833 + ... + 99012264.

Almost surely, 242773204952 is an apocalyptic number.

It is an amenable number.

42773204952 is an abundant number, since it is smaller than the sum of its proper divisors (76041253848).

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

42773204952 is a wasteful number, since it uses less digits than its factorization.

42773204952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198024112 (or 198024102 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 42773204952 in words is "forty-two billion, seven hundred seventy-three million, two hundred four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 198024097 396048194 594072291 792096388 1188144582 1584192776 1782216873 2376289164 3564433746 4752578328 5346650619 7128867492 10693301238 14257734984 21386602476 42773204952