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10032001240482 = 23213291609918793
BaseRepresentation
bin1001000111111100000111…
…0111101100110110100010
31022112001100102012201001100
42101333001313230312202
52303331014304143412
633200345430415230
72053534225402434
oct221770167546642
938461312181040
1010032001240482
113218603191701
121160328b01516
1357a024010490
142697a1276654
15125e4e5c6edc
hex91fc1decda2

10032001240482 has 96 divisors (see below), whose sum is σ = 24230251609200. Its totient is φ = 2978473752576.

The previous prime is 10032001240463. The next prime is 10032001240507. The reversal of 10032001240482 is 28404210023001.

10032001240482 is a `hidden beast` number, since 100 + 32 + 0 + 0 + 12 + 40 + 482 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3697663630761 + 6334337609721 = 1922931^2 + 2516811^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10459278 + ... + 11378070.

Almost surely, 210032001240482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032001240482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12115125804600).

10032001240482 is an abundant number, since it is smaller than the sum of its proper divisors (14198250368718).

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

10032001240482 is a wasteful number, since it uses less digits than its factorization.

10032001240482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920452 (or 920449 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10032001240482 its reverse (28404210023001), we get a palindrome (38436211263483).

The spelling of 10032001240482 in words is "ten trillion, thirty-two billion, one million, two hundred forty thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 1609 2262 3218 3393 4827 6786 9654 14481 20917 28962 41834 46661 62751 93322 125502 139983 188253 279966 376506 419949 606593 839898 918793 1213186 1819779 1837586 2756379 3639558 5459337 5512758 8269137 10918674 11944309 16538274 23888618 26644997 35832927 53289994 71665854 79934991 107498781 159869982 214997562 239804973 346384961 479609946 692769922 1039154883 1478337937 2078309766 2956675874 3117464649 4435013811 6234929298 8870027622 13305041433 19218393181 26610082866 38436786362 42871800173 57655179543 85743600346 115310359086 128615400519 172965538629 257230801038 345931077258 385846201557 557333402249 771692403114 1114666804498 1672000206747 3344000413494 5016000620241 10032001240482