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40682706192 = 243523943781
BaseRepresentation
bin100101111000111000…
…001101010100010000
310220000020200121100000
4211320320031110100
51131304233044232
630404523330000
72640104203602
oct457070152420
9126006617300
1040682706192
1116287366337
127a74680900
133ab464821b
141d7d123172
1510d18e027c
hex978e0d510

40682706192 has 120 divisors (see below), whose sum is σ = 118568661120. Its totient is φ = 13503853440.

The previous prime is 40682706167. The next prime is 40682706193. The reversal of 40682706192 is 29160728604.

It is a happy number.

40682706192 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 27 + 0 + 619 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (40682706193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 907342 + ... + 951122.

It is an arithmetic number, because the mean of its divisors is an integer number (988072176).

Almost surely, 240682706192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40682706192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59284330560).

40682706192 is an abundant number, since it is smaller than the sum of its proper divisors (77885954928).

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

40682706192 is a wasteful number, since it uses less digits than its factorization.

40682706192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44043 (or 44025 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 40682706192 in words is "forty billion, six hundred eighty-two million, seven hundred six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 239 243 324 432 478 486 648 717 956 972 1296 1434 1912 1944 2151 2868 3824 3888 4302 5736 6453 8604 11472 12906 17208 19359 25812 34416 38718 43781 51624 58077 77436 87562 103248 116154 131343 154872 175124 232308 262686 309744 350248 394029 464616 525372 700496 788058 929232 1050744 1182087 1576116 2101488 2364174 3152232 3546261 4728348 6304464 7092522 9456696 10463659 10638783 14185044 18913392 20927318 21277566 28370088 31390977 41854636 42555132 56740176 62781954 83709272 85110264 94172931 125563908 167418544 170220528 188345862 251127816 282518793 376691724 502255632 565037586 753383448 847556379 1130075172 1506766896 1695112758 2260150344 2542669137 3390225516 4520300688 5085338274 6780451032 10170676548 13560902064 20341353096 40682706192