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41136244506 = 2327311358963
BaseRepresentation
bin100110010011111010…
…010100011100011010
310221011212002201221100
4212103322110130122
51133221334311011
630521524252230
72654252211000
oct462372243432
9127155081840
1041136244506
111649a379395
127b80541076
133b575b35a6
141dc3462a70
15110b62bd56
hex993e9471a

41136244506 has 96 divisors (see below), whose sum is σ = 104861577600. Its totient is φ = 11649004416.

The previous prime is 41136244433. The next prime is 41136244529. The reversal of 41136244506 is 60544263114.

41136244506 is a `hidden beast` number, since 41 + 13 + 62 + 44 + 506 = 666.

41136244506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×411362445062 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 668181 + ... + 727143.

It is an arithmetic number, because the mean of its divisors is an integer number (1092308100).

Almost surely, 241136244506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41136244506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52430788800).

41136244506 is an abundant number, since it is smaller than the sum of its proper divisors (63725333094).

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

41136244506 is a wasteful number, since it uses less digits than its factorization.

41136244506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59105 (or 59088 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 41136244506 in words is "forty-one billion, one hundred thirty-six million, two hundred forty-four thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 113 126 147 226 294 339 343 441 678 686 791 882 1017 1029 1582 2034 2058 2373 3087 4746 5537 6174 7119 11074 14238 16611 33222 38759 49833 58963 77518 99666 116277 117926 176889 232554 348831 353778 412741 530667 697662 825482 1061334 1238223 2476446 2889187 3714669 5778374 6662819 7429338 8667561 13325638 17335122 19988457 20224309 26002683 39976914 40448618 46639733 52005366 59965371 60672927 93279466 119930742 121345854 139919199 182018781 279838398 326478131 364037562 419757597 652956262 839515194 979434393 1958868786 2285346917 2938303179 4570693834 5876606358 6856040751 13712081502 20568122253 41136244506