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40766032836 = 223637392
BaseRepresentation
bin100101111101110110…
…000100101111000100
310220020001111001000000
4211331312010233010
51131442101022321
630421101321300
72642135363454
oct457566045704
9126201431000
1040766032836
111631a3a9931
127a98566230
133ac89a1829
141d8a213d64
1510d8d9e826
hex97dd84bc4

40766032836 has 63 divisors (see below), whose sum is σ = 106990520511. Its totient is φ = 13585043304.

The previous prime is 40766032829. The next prime is 40766032837. The reversal of 40766032836 is 63823066704.

The square root of 40766032836 is 201906.

It is a perfect power (a square), and thus also a powerful number.

40766032836 is a `hidden beast` number, since 4 + 0 + 7 + 6 + 603 + 2 + 8 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40766032791 and 40766032800.

It is not an unprimeable number, because it can be changed into a prime (40766032837) 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 20 ways as a sum of consecutive naturals, for example, 10901055 + ... + 10904793.

Almost surely, 240766032836 is an apocalyptic number.

40766032836 is the 201906-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40766032836

40766032836 is an abundant number, since it is smaller than the sum of its proper divisors (66224487675).

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

40766032836 is an frugal number, since it uses more digits than its factorization.

40766032836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7500 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 40766032836 in words is "forty billion, seven hundred sixty-six million, thirty-two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 3739 7478 11217 14956 22434 33651 44868 67302 100953 134604 201906 302859 403812 605718 908577 1211436 1817154 2725731 3634308 5451462 10902924 13980121 27960242 41940363 55920484 83880726 125821089 167761452 251642178 377463267 503284356 754926534 1132389801 1509853068 2264779602 3397169403 4529559204 6794338806 10191508209 13588677612 20383016418 40766032836