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40756637706093 = 3217751557363647
BaseRepresentation
bin10010100010001011001001…
…11010011010011101101101
312100022022000011020222122200
421101011210322122131231
520320224043223043333
6222403201344132113
711404366322322561
oct1121054472323555
9170268004228580
1040756637706093
1111a9387a509631
1246a2aab607039
131998446a0b45a
14a0c8bb8bd6a1
154aa29126bc13
hex251164e9a76d

40756637706093 has 48 divisors (see below), whose sum is σ = 62428862785536. Its totient is φ = 25533756864000.

The previous prime is 40756637706067. The next prime is 40756637706133. The reversal of 40756637706093 is 39060773665704.

40756637706093 is a `hidden beast` number, since 4 + 0 + 7 + 566 + 3 + 7 + 7 + 0 + 60 + 9 + 3 = 666.

40756637706093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40756637706093 - 213 = 40756637697901 is a prime.

It is a super-2 number, since 2×407566377060932 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40756637706093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40756637708093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 640322596 + ... + 640386242.

It is an arithmetic number, because the mean of its divisors is an integer number (1300601308032).

Almost surely, 240756637706093 is an apocalyptic number.

It is an amenable number.

40756637706093 is a deficient number, since it is larger than the sum of its proper divisors (21672225079443).

40756637706093 is a wasteful number, since it uses less digits than its factorization.

40756637706093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69994 (or 69991 counting only the distinct ones).

The product of its (nonzero) digits is 120022560, while the sum is 63.

The spelling of 40756637706093 in words is "forty trillion, seven hundred fifty-six billion, six hundred thirty-seven million, seven hundred six thousand, ninety-three".

Divisors: 1 3 9 17 51 153 751 2253 5573 6759 12767 16719 38301 50157 63647 94741 114903 190941 284223 572823 852669 1081999 3245997 4185323 9737991 12555969 37667907 47798897 71150491 143396691 213451473 354704731 430190073 640354419 812581249 1064114193 2437743747 3192342579 6029980427 7313231241 18089941281 54269823843 266383252981 799149758943 2397449276829 4528515300677 13585545902031 40756637706093