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40166709696 = 2632233299287
BaseRepresentation
bin100101011010000111…
…110101100111000000
310211200021202021012200
4211122013311213000
51124230134202241
630241411553200
72621240253621
oct453207654700
9124607667180
1040166709696
1116042073553
12794b8bb800
133a31782059
141d307a5a48
1510a14674b6
hex95a1f59c0

40166709696 has 84 divisors (see below), whose sum is σ = 115625130192. Its totient is φ = 13331395584.

The previous prime is 40166709673. The next prime is 40166709697. The reversal of 40166709696 is 69690766104.

40166709696 is a `hidden beast` number, since 401 + 6 + 67 + 0 + 96 + 96 = 666.

It is a super-2 number, since 2×401667096962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40166709697) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15436 + ... + 283851.

Almost surely, 240166709696 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 40166709696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57812565096).

40166709696 is an abundant number, since it is smaller than the sum of its proper divisors (75458420496).

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

40166709696 is a wasteful number, since it uses less digits than its factorization.

40166709696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299538 (or 299525 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 40166709696 in words is "forty billion, one hundred sixty-six million, seven hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 233 288 466 576 699 932 1398 1864 2097 2796 3728 4194 5592 7456 8388 11184 14912 16776 22368 33552 44736 67104 134208 299287 598574 897861 1197148 1795722 2394296 2693583 3591444 4788592 5387166 7182888 9577184 10774332 14365776 19154368 21548664 28731552 43097328 57463104 69733871 86194656 139467742 172389312 209201613 278935484 418403226 557870968 627604839 836806452 1115741936 1255209678 1673612904 2231483872 2510419356 3347225808 4462967744 5020838712 6694451616 10041677424 13388903232 20083354848 40166709696