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46515243642 = 23719152338273
BaseRepresentation
bin101011010100100001…
…100100101001111010
311110001201122012120120
4223110201210221322
51230230400244032
633211355034110
73234456022140
oct532441445172
9143051565516
1046515243642
11187aa70801a
129021a3b936
134503b0c90a
1423739bd590
15132399962c
hexad4864a7a

46515243642 has 64 divisors (see below), whose sum is σ = 111992785920. Its totient is φ = 12581996544.

The previous prime is 46515243641. The next prime is 46515243683. The reversal of 46515243642 is 24634251564.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 46515243594 and 46515243603.

It is not an unprimeable number, because it can be changed into a prime (46515243641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1196218 + ... + 1234490.

It is an arithmetic number, because the mean of its divisors is an integer number (1749887280).

Almost surely, 246515243642 is an apocalyptic number.

46515243642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 46515243642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55996392960).

46515243642 is an abundant number, since it is smaller than the sum of its proper divisors (65477542278).

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

46515243642 is a wasteful number, since it uses less digits than its factorization.

46515243642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39827.

The product of its digits is 691200, while the sum is 42.

The spelling of 46515243642 in words is "forty-six billion, five hundred fifteen million, two hundred forty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 1523 3046 4569 9138 10661 21322 28937 31983 38273 57874 63966 76546 86811 114819 173622 202559 229638 267911 405118 535822 607677 727187 803733 1215354 1454374 1607466 2181561 4363122 5090309 10180618 15270927 30541854 58289779 116579558 174869337 349738674 408028453 816056906 1107505801 1224085359 2215011602 2448170718 3322517403 6645034806 7752540607 15505081214 23257621821 46515243642