Search a number
-
+
650713512042 = 2331123938911783
BaseRepresentation
bin10010111100000011000…
…11000011100001101010
32022012121100021101122000
421132001203003201222
541130130124341132
61214533400511430
765004200406546
oct11360143034152
92265540241560
10650713512042
11230a698a4820
12a614277b576
134949248a8b9
14236cd668a26
1511dd71a387c
hex97818c386a

650713512042 has 128 divisors (see below), whose sum is σ = 1588294656000. Its totient is φ = 195839461440.

The previous prime is 650713512013. The next prime is 650713512083. The reversal of 650713512042 is 240215317056.

650713512042 is a `hidden beast` number, since 6 + 507 + 135 + 12 + 0 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 650713511988 and 650713512006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55218883 + ... + 55230665.

It is an arithmetic number, because the mean of its divisors is an integer number (12408552000).

Almost surely, 2650713512042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 650713512042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794147328000).

650713512042 is an abundant number, since it is smaller than the sum of its proper divisors (937581143958).

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

650713512042 is a wasteful number, since it uses less digits than its factorization.

650713512042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12433 (or 12427 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 650713512042 its reverse (240215317056), we get a palindrome (890928829098).

The spelling of 650713512042 in words is "six hundred fifty billion, seven hundred thirteen million, five hundred twelve thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 239 297 389 478 594 717 778 1167 1434 2151 2334 2629 3501 4279 4302 5258 6453 7002 7887 8558 10503 11783 12837 12906 15774 21006 23566 23661 25674 35349 38511 47322 70698 70983 77022 92971 106047 115533 129613 141966 185942 212094 231066 259226 278913 318141 388839 557826 636282 777678 836739 1022681 1166517 1673478 2045362 2333034 2510217 2816137 3068043 3499551 4583587 5020434 5632274 6136086 6999102 8448411 9167174 9204129 13750761 16896822 18408258 25345233 27501522 27612387 30977507 41252283 50419457 50690466 55224774 61955014 76035699 82504566 92932521 100838914 123756849 151258371 152071398 185865042 247513698 278797563 302516742 453775113 557595126 836392689 907550226 1095477293 1361325339 1672785378 2190954586 2722650678 3286431879 6572863758 9859295637 12050250223 19718591274 24100500446 29577886911 36150750669 59155773822 72301501338 108452252007 216904504014 325356756021 650713512042