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832140018640 = 245721071983931
BaseRepresentation
bin11000001101111110110…
…10010000001111010000
32221112220021020212001101
430012333122100033100
5102113210321044030
61434140240314144
7114056130311200
oct14067732201720
92845807225041
10832140018640
112a09aa38a477
12115336012954
1360616801798
142c3c0ab6400
15169a4c3a7ca
hexc1bf6903d0

832140018640 has 120 divisors (see below), whose sum is σ = 2271633882912. Its totient is φ = 282638603520.

The previous prime is 832140018587. The next prime is 832140018643. The reversal of 832140018640 is 46810041238.

It is a self number, because there is not a number n which added to its sum of digits gives 832140018640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832140018643) 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 23 ways as a sum of consecutive naturals, for example, 572526 + ... + 1411405.

Almost surely, 2832140018640 is an apocalyptic number.

832140018640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

832140018640 is an abundant number, since it is smaller than the sum of its proper divisors (1439493864272).

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

832140018640 is a wasteful number, since it uses less digits than its factorization.

832140018640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984065 (or 1984052 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

Adding to 832140018640 its reverse (46810041238), we get a palindrome (878950059878).

The spelling of 832140018640 in words is "eight hundred thirty-two billion, one hundred forty million, eighteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 107 112 140 196 214 245 280 392 428 490 535 560 749 784 856 980 1070 1498 1712 1960 2140 2996 3745 3920 4280 5243 5992 7490 8560 10486 11984 14980 20972 26215 29960 41944 52430 59920 83888 104860 209720 419440 1983931 3967862 7935724 9919655 13887517 15871448 19839310 27775034 31742896 39678620 55550068 69437585 79357240 97212619 111100136 138875170 158714480 194425238 212280617 222200272 277750340 388850476 424561234 486063095 555500680 777700952 849122468 972126190 1061403085 1111001360 1485964319 1555401904 1698244936 1944252380 2122806170 2971928638 3396489872 3888504760 4245612340 5943857276 7429821595 7777009520 8491224680 10401750233 11887714552 14859643190 16982449360 20803500466 23775429104 29719286380 41607000932 52008751165 59438572760 83214001864 104017502330 118877145520 166428003728 208035004660 416070009320 832140018640