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42650406132 = 22323534875987
BaseRepresentation
bin100111101110001010…
…011000110011110100
311002002101021010012120
4213232022120303310
51144322000444012
631332054115540
73036626320245
oct475612306364
9132071233176
1042650406132
11170a7051434
12832364bbb0
1340391c3709
1420c85b0ccc
15119952258c
hex9ee298cf4

42650406132 has 96 divisors (see below), whose sum is σ = 106038761472. Its totient is φ = 13312480896.

The previous prime is 42650406131. The next prime is 42650406133. The reversal of 42650406132 is 23160405624.

It is an interprime number because it is at equal distance from previous prime (42650406131) and next prime (42650406133).

It is a junction number, because it is equal to n+sod(n) for n = 42650406093 and 42650406102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42650406131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7120843 + ... + 7126829.

It is an arithmetic number, because the mean of its divisors is an integer number (1104570432).

Almost surely, 242650406132 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 42650406132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53019380736).

42650406132 is an abundant number, since it is smaller than the sum of its proper divisors (63388355340).

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

42650406132 is a wasteful number, since it uses less digits than its factorization.

42650406132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6557 (or 6555 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 42650406132 in words is "forty-two billion, six hundred fifty million, four hundred six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 106 138 159 212 276 318 487 636 974 1219 1461 1948 2438 2922 3657 4876 5844 5987 7314 11201 11974 14628 17961 22402 23948 25811 33603 35922 44804 51622 67206 71844 77433 103244 134412 137701 154866 275402 309732 317311 413103 550804 593653 634622 826206 951933 1187306 1269244 1652412 1780959 1903866 2374612 2915669 3561918 3807732 5831338 7123836 7298153 8747007 11662676 14596306 17494014 21894459 29192612 34988028 43788918 67060387 87577836 134120774 154530457 201181161 268241548 309060914 402362322 463591371 618121828 804724644 927182742 1854365484 3554200511 7108401022 10662601533 14216802044 21325203066 42650406132