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99945561500 = 22532295231669
BaseRepresentation
bin101110100010100111…
…0000011110110011100
3100112222101012120122222
41131011032003312130
53114142030432000
6113525300124512
710135513153451
oct1350516036634
9315871176588
1099945561500
1139428733704
1217453696738
13956a45c005
144ba1b2d828
1528ee584a85
hex1745383d9c

99945561500 has 96 divisors (see below), whose sum is σ = 219785092800. Its totient is φ = 39703737600.

The previous prime is 99945561497. The next prime is 99945561559. The reversal of 99945561500 is 516554999.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 59882666 + ... + 59884334.

It is an arithmetic number, because the mean of its divisors is an integer number (2289428050).

Almost surely, 299945561500 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 99945561500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109892546400).

99945561500 is an abundant number, since it is smaller than the sum of its proper divisors (119839531300).

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

99945561500 is a wasteful number, since it uses less digits than its factorization.

99945561500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 53.

The spelling of 99945561500 in words is "ninety-nine billion, nine hundred forty-five million, five hundred sixty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 229 250 458 500 523 916 1046 1145 1669 2092 2290 2615 3338 4580 5230 5725 6676 8345 10460 11450 13075 16690 22900 26150 28625 33380 41725 52300 57250 65375 83450 114500 119767 130750 166900 208625 239534 261500 382201 417250 479068 598835 764402 834500 872887 1197670 1528804 1745774 1911005 2395340 2994175 3491548 3822010 4364435 5988350 7644020 8728870 9555025 11976700 14970875 17457740 19110050 21822175 29941750 38220100 43644350 47775125 59883500 87288700 95550250 109110875 191100500 199891123 218221750 399782246 436443500 799564492 999455615 1998911230 3997822460 4997278075 9994556150 19989112300 24986390375 49972780750 99945561500