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10331532468 = 22321779972203
BaseRepresentation
bin10011001111100111…
…01010110010110100
3222200000121020011200
421213303222302310
5132124333014333
64425104332500
7514011401625
oct114763526264
928600536150
1010331532468
114421976294
122004014130
13c885a892a
147001c3a4c
15407049c13
hex267ceacb4

10331532468 has 144 divisors (see below), whose sum is σ = 28303591680. Its totient is φ = 3165806592.

The previous prime is 10331532467. The next prime is 10331532487. The reversal of 10331532468 is 86423513301.

10331532468 is a `hidden beast` number, since 10 + 3 + 315 + 324 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10331532467) 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 47 ways as a sum of consecutive naturals, for example, 4688655 + ... + 4690857.

It is an arithmetic number, because the mean of its divisors is an integer number (196552720).

Almost surely, 210331532468 is an apocalyptic number.

10331532468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10331532468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14151795840).

10331532468 is an abundant number, since it is smaller than the sum of its proper divisors (17972059212).

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

10331532468 is a wasteful number, since it uses less digits than its factorization.

10331532468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10331532468 in words is "ten billion, three hundred thirty-one million, five hundred thirty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 79 97 102 153 158 194 204 237 291 306 316 388 474 582 612 711 873 948 1164 1343 1422 1649 1746 2203 2686 2844 3298 3492 4029 4406 4947 5372 6596 6609 7663 8058 8812 9894 12087 13218 14841 15326 16116 19788 19827 22989 24174 26436 29682 30652 37451 39654 45978 48348 59364 68967 74902 79308 91956 112353 130271 137934 149804 174037 213691 224706 260542 275868 337059 348074 390813 427382 449412 521084 522111 641073 674118 696148 781626 854764 1044222 1172439 1282146 1348236 1563252 1566333 1923219 2088444 2344878 2564292 2958629 3132666 3632747 3846438 4689756 5917258 6265332 7265494 7692876 8875887 10898241 11834516 14530988 16881589 17751774 21796482 26627661 32694723 33763178 35503548 43592964 50644767 53255322 65389446 67526356 101289534 106510644 130778892 151934301 202579068 286987013 303868602 573974026 607737204 860961039 1147948052 1721922078 2582883117 3443844156 5165766234 10331532468