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41614745326164 = 2233736329833999
BaseRepresentation
bin10010111011001001100000…
…00111001101001001010100
312110100022221011010200011000
421131210300013031021110
520423303444300414124
6224301314452343300
711523365116620633
oct1135446007151124
9173308834120130
1041614745326164
111229479492a32a
124801272014b30
131a2b33b34b96a
14a3c24325551a
154c2765aab6c9
hex25d9301cd254

41614745326164 has 96 divisors (see below), whose sum is σ = 109385438400000. Its totient is φ = 13679381979648.

The previous prime is 41614745326159. The next prime is 41614745326207. The reversal of 41614745326164 is 46162354741614.

It is a happy number.

41614745326164 is a `hidden beast` number, since 4 + 1 + 6 + 1 + 4 + 7 + 453 + 26 + 164 = 666.

It is a super-2 number, since 2×416147453261642 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 41614745326164.

It is a congruent number.

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, 49480837 + ... + 50314835.

It is an arithmetic number, because the mean of its divisors is an integer number (1139431650000).

Almost surely, 241614745326164 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 41614745326164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54692719200000).

41614745326164 is an abundant number, since it is smaller than the sum of its proper divisors (67770693073836).

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

41614745326164 is a wasteful number, since it uses less digits than its factorization.

41614745326164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840414 (or 840406 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 41614745326164 in words is "forty-one trillion, six hundred fourteen billion, seven hundred forty-five million, three hundred twenty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 3942 6329 7884 12658 18987 25316 37974 56961 75948 113922 170883 227844 341766 462017 683532 833999 924034 1386051 1667998 1848068 2501997 2772102 3335996 4158153 5003994 5544204 7505991 8316306 10007988 12474459 15011982 16632612 22517973 24948918 30023964 45035946 49897836 60881927 90071892 121763854 182645781 243527708 365291562 547937343 730583124 1095874686 1643812029 2191749372 3287624058 5278379671 6575248116 10556759342 15835139013 21113518684 31670278026 47505417039 63340556052 95010834078 142516251117 190021668156 285032502234 385321715983 570065004468 770643431966 1155965147949 1541286863932 2311930295898 3467895443847 4623860591796 6935790887694 10403686331541 13871581775388 20807372663082 41614745326164