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46623414006 = 232134335912907
BaseRepresentation
bin101011011010111110…
…001101011011110110
311110100021011211102100
4223122332031123312
51230441043222011
633230221322530
73240241323501
oct533276153366
9143307154370
1046623414006
111885577a014
129052106446
134520354250
1423840da138
15132d214d56
hexadaf8d6f6

46623414006 has 96 divisors (see below), whose sum is σ = 111636645120. Its totient is φ = 13971932352.

The previous prime is 46623413983. The next prime is 46623414029. The reversal of 46623414006 is 60041432664.

It is an interprime number because it is at equal distance from previous prime (46623413983) and next prime (46623414029).

It is a congruent number.

It is an unprimeable number.

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, 3605805 + ... + 3618711.

It is an arithmetic number, because the mean of its divisors is an integer number (1162881720).

Almost surely, 246623414006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46623414006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55818322560).

46623414006 is an abundant number, since it is smaller than the sum of its proper divisors (65013231114).

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

46623414006 is a wasteful number, since it uses less digits than its factorization.

46623414006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13330 (or 13327 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 46623414006 in words is "forty-six billion, six hundred twenty-three million, four hundred fourteen thousand, six".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 359 387 559 718 774 1077 1118 1677 2154 3231 3354 4667 5031 6462 9334 10062 12907 14001 15437 25814 28002 30874 38721 42003 46311 77442 84006 92622 116163 138933 167791 200681 232326 277866 335582 401362 503373 555001 602043 1006746 1110002 1204086 1510119 1665003 1806129 3020238 3330006 3612258 4633613 4995009 7215013 9267226 9990018 13900839 14430026 21645039 27801678 41702517 43290078 60236969 64935117 83405034 120473938 129870234 180710907 199245359 361421814 398490718 542132721 597736077 1084265442 1195472154 1793208231 2590189667 3586416462 5180379334 7770569001 15541138002 23311707003 46623414006