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41386542792 = 23372323334591
BaseRepresentation
bin100110100010110101…
…001000011011001000
310221211022002012122020
4212202311020123020
51134224423332132
631002425124440
72663411544420
oct464265103310
9127738065566
1041386542792
1116608696181
128030329720
133b973cb99a
1420087b9480
1511235be52c
hex9a2d486c8

41386542792 has 128 divisors (see below), whose sum is σ = 123468226560. Its totient is φ = 11303297280.

The previous prime is 41386542749. The next prime is 41386542803. The reversal of 41386542792 is 29724568314.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9012417 + ... + 9017007.

It is an arithmetic number, because the mean of its divisors is an integer number (964595520).

Almost surely, 241386542792 is an apocalyptic number.

41386542792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41386542792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61734113280).

41386542792 is an abundant number, since it is smaller than the sum of its proper divisors (82081683768).

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

41386542792 is a wasteful number, since it uses less digits than its factorization.

41386542792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6963 (or 6959 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The spelling of 41386542792 in words is "forty-one billion, three hundred eighty-six million, five hundred forty-two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 2333 3864 4591 4666 6999 9182 9332 13773 13998 16331 18364 18664 27546 27996 32137 32662 36728 48993 53659 55092 55992 64274 65324 96411 97986 105593 107318 110184 128548 130648 160977 192822 195972 211186 214636 257096 316779 321954 375613 385644 391944 422372 429272 633558 643908 739151 751226 771288 844744 1126839 1267116 1287816 1478302 1502452 2217453 2253678 2534232 2956604 3004904 4434906 4507356 5913208 8869812 9014712 10710803 17739624 21421606 32132409 42843212 64264818 74975621 85686424 128529636 149951242 224926863 246348469 257059272 299902484 449853726 492696938 599804968 739045407 899707452 985393876 1478090814 1724439283 1799414904 1970787752 2956181628 3448878566 5173317849 5912363256 6897757132 10346635698 13795514264 20693271396 41386542792