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41364201096 = 23331169916369
BaseRepresentation
bin100110100001011111…
…111001111010001000
310221202202001010121000
4212201133321322020
51134203213413341
631000310215000
72663020623321
oct464137717210
9127682033530
1041364201096
11165a7016569
128024954460
133b928a874a
142005841448
1511216598b6
hex9a17f9e88

41364201096 has 64 divisors (see below), whose sum is σ = 114917400000. Its totient is φ = 13786046208.

The previous prime is 41364201041. The next prime is 41364201107. The reversal of 41364201096 is 69010246314.

41364201096 is a `hidden beast` number, since 4 + 1 + 3 + 642 + 0 + 1 + 0 + 9 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41364201096.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2518800 + ... + 2535168.

It is an arithmetic number, because the mean of its divisors is an integer number (1795584375).

Almost surely, 241364201096 is an apocalyptic number.

It is an amenable number.

41364201096 is an abundant number, since it is smaller than the sum of its proper divisors (73553198904).

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

41364201096 is a wasteful number, since it uses less digits than its factorization.

41364201096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28083 (or 28073 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 41364201096 in words is "forty-one billion, three hundred sixty-four million, two hundred one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 11699 16369 23398 32738 35097 46796 49107 65476 70194 93592 98214 105291 130952 140388 147321 196428 210582 280776 294642 315873 392856 421164 441963 589284 631746 842328 883926 1178568 1263492 1767852 2526984 3535704 191500931 383001862 574502793 766003724 1149005586 1532007448 1723508379 2298011172 3447016758 4596022344 5170525137 6894033516 10341050274 13788067032 20682100548 41364201096