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2018819570096 = 247192239423713
BaseRepresentation
bin11101011000001011000…
…001011111100110110000
321010222221000012001210202
4131120023001133212300
5231034020302220341
64143233301414332
7265566142132250
oct35301301374660
97128830161722
102018819570096
117091a40203aa
1228731670a3a8
131184b250a374
146d9d609b960
15377aa2c679b
hex1d60b05f9b0

2018819570096 has 80 divisors (see below), whose sum is σ = 4707632025600. Its totient is φ = 819303081984.

The previous prime is 2018819570083. The next prime is 2018819570099. The reversal of 2018819570096 is 6900759188102.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (2018819570099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4552736 + ... + 4976448.

It is an arithmetic number, because the mean of its divisors is an integer number (58845400320).

Almost surely, 22018819570096 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 2018819570096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353816012800).

2018819570096 is an abundant number, since it is smaller than the sum of its proper divisors (2688812455504).

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

2018819570096 is a wasteful number, since it uses less digits than its factorization.

2018819570096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425986 (or 425980 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 56.

The spelling of 2018819570096 in words is "two trillion, eighteen billion, eight hundred nineteen million, five hundred seventy thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 2239 4478 8956 15673 17912 31346 35824 42541 62692 85082 125384 170164 250768 297787 340328 423713 595574 680656 847426 1191148 1694852 2382296 2965991 3389704 4764592 5931982 6779408 8050547 11863964 16101094 23727928 32202188 47455856 56353829 64404376 112707658 128808752 225415316 450830632 901661264 948693407 1897386814 3794773628 6640853849 7589547256 13281707698 15179094512 18025174733 26563415396 36050349466 53126830792 72100698932 106253661584 126176223131 144201397864 252352446262 288402795728 504704892524 1009409785048 2018819570096