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99013897832064 = 273787682947977
BaseRepresentation
bin10110100000110101111000…
…001101010100011010000000
3110222120122011210010010022120
4112200311320031110122000
5100434220430321111224
6550330205015004240
726566342456050105
oct2640657015243200
9428518153103276
1099013897832064
1129604616048206
12b131682069680
134332c80266a97
141a64426488aac
15b6a8a3209779
hex5a0d78354680

99013897832064 has 128 divisors (see below), whose sum is σ = 263383905422400. Its totient is φ = 32957181517824.

The previous prime is 99013897832041. The next prime is 99013897832071. The reversal of 99013897832064 is 46023879831099.

99013897832064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 99013897832064.

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, 2063754444 + ... + 2063802420.

Almost surely, 299013897832064 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 99013897832064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131691952711200).

99013897832064 is an abundant number, since it is smaller than the sum of its proper divisors (164370007590336).

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

99013897832064 is a wasteful number, since it uses less digits than its factorization.

99013897832064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55610 (or 55598 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 69.

The spelling of 99013897832064 in words is "ninety-nine trillion, thirteen billion, eight hundred ninety-seven million, eight hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 787 1574 2361 3148 4722 6296 6829 9444 12592 13658 18888 20487 25184 27316 37776 40974 47977 50368 54632 75552 81948 95954 100736 109264 143931 151104 163896 191908 218528 287862 302208 327792 383816 437056 575724 655584 767632 874112 1151448 1311168 1535264 2302896 2622336 3070528 4605792 5374423 6141056 9211584 10748846 16123269 18423168 21497692 32246538 37757899 42995384 64493076 75515798 85990768 113273697 128986152 151031596 171981536 226547394 257972304 302063192 327634933 343963072 453094788 515944608 604126384 655269866 687926144 906189576 982904799 1031889216 1208252768 1310539732 1812379152 1965809598 2063778432 2416505536 2621079464 3624758304 3931619196 4833011072 5242158928 7249516608 7863238392 10484317856 14499033216 15726476784 20968635712 31452953568 41937271424 62905907136 125811814272 257848692271 515697384542 773546076813 1031394769084 1547092153626 2062789538168 3094184307252 4125579076336 6188368614504 8251158152672 12376737229008 16502316305344 24753474458016 33004632610688 49506948916032 99013897832064