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812066186640 = 243531109148681
BaseRepresentation
bin10111101000100101110…
…10101010010110010000
32212122002021210112100010
423310102322222112100
5101301102420433030
61421020312354520
7112445520460512
oct13642272522620
92778067715303
10812066186640
11293439212375
121114733a5a40
135b767a46097
142b438a91bb2
15161cc7886b0
hexbd12eaa590

812066186640 has 80 divisors (see below), whose sum is σ = 2598611821056. Its totient is φ = 209565465600.

The previous prime is 812066186627. The next prime is 812066186641. The reversal of 812066186640 is 46681660218.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 812066186640.

It is not an unprimeable number, because it can be changed into a prime (812066186641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54566901 + ... + 54581780.

Almost surely, 2812066186640 is an apocalyptic number.

812066186640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

812066186640 is an abundant number, since it is smaller than the sum of its proper divisors (1786545634416).

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

812066186640 is a wasteful number, since it uses less digits than its factorization.

812066186640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109148728 (or 109148722 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 812066186640 in words is "eight hundred twelve billion, sixty-six million, one hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 109148681 218297362 327446043 436594724 545743405 654892086 873189448 1091486810 1309784172 1637230215 1746378896 2182973620 2619568344 3274460430 3383609111 4365947240 5239136688 6548920860 6767218222 8731894480 10150827333 13097841720 13534436444 16918045555 20301654666 26195683440 27068872888 33836091110 40603309332 50754136665 54137745776 67672182220 81206618664 101508273330 135344364440 162413237328 203016546660 270688728880 406033093320 812066186640