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10019744372848 = 2471914437326143
BaseRepresentation
bin1001000111001110011101…
…0011011101100001110000
31022110212201012202022112211
42101303213103131201300
52303130414024412343
633151001303301504
72052621414631450
oct221634723354160
938425635668484
1010019744372848
113213393536631
121159a8814a894
13578b1c8a0392
14268d5b4b1d60
1512598351779d
hex91ce74dd870

10019744372848 has 80 divisors (see below), whose sum is σ = 23355980677120. Its totient is φ = 4067872627968.

The previous prime is 10019744372837. The next prime is 10019744372881. The reversal of 10019744372848 is 84827344791001.

10019744372848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100197443728482 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10019744372792 and 10019744372801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30558865 + ... + 30885007.

It is an arithmetic number, because the mean of its divisors is an integer number (291949758464).

Almost surely, 210019744372848 is an apocalyptic number.

It is an amenable number.

10019744372848 is an abundant number, since it is smaller than the sum of its proper divisors (13336236304272).

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

10019744372848 is a wasteful number, since it uses less digits than its factorization.

10019744372848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340614 (or 340608 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 58.

The spelling of 10019744372848 in words is "ten trillion, nineteen billion, seven hundred forty-four million, three hundred seventy-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 14437 28874 57748 101059 115496 202118 230992 274303 326143 404236 548606 652286 808472 1097212 1304572 1616944 1920121 2194424 2283001 2609144 3840242 4388848 4566002 5218288 6196717 7680484 9132004 12393434 15360968 18264008 24786868 30721936 36528016 43377019 49573736 86754038 99147472 173508076 347016152 694032304 4708526491 9417052982 18834105964 32959685437 37668211928 65919370874 75336423856 89462003329 131838741748 178924006658 263677483496 357848013316 527354966992 626234023303 715696026632 1252468046606 1431392053264 2504936093212 5009872186424 10019744372848