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4099394093824 = 28432801132953
BaseRepresentation
bin111011101001110110111…
…011011100001100000000
3112111220020211012211011101
4323221312323130030000
51014131024342000244
612415122522224144
7602112543603241
oct73516673341400
915456224184141
104099394093824
1113405a8105467
125625a6955054
13239756c221c3
141025a9b1acc8
157197be0c0d4
hex3ba76edc300

4099394093824 has 72 divisors (see below), whose sum is σ = 8376124336272. Its totient is φ = 2001299865600.

The previous prime is 4099394093813. The next prime is 4099394093827. The reversal of 4099394093824 is 4283904939904.

It is a super-2 number, since 2×40993940938242 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (4099394093827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30766932 + ... + 30899884.

It is an arithmetic number, because the mean of its divisors is an integer number (116335060226).

Almost surely, 24099394093824 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 4099394093824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188062168136).

4099394093824 is an abundant number, since it is smaller than the sum of its proper divisors (4276730242448).

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

4099394093824 is a wasteful number, since it uses less digits than its factorization.

4099394093824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135813 (or 135799 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 64.

The spelling of 4099394093824 in words is "four trillion, ninety-nine billion, three hundred ninety-four million, ninety-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 688 1376 2752 2801 5504 5602 11008 11204 22408 44816 89632 120443 132953 179264 240886 265906 358528 481772 531812 717056 963544 1063624 1927088 2127248 3854176 4254496 5716979 7708352 8508992 11433958 15416704 17017984 22867916 30833408 34035968 45735832 91471664 182943328 365886656 372401353 731773312 744802706 1463546624 1489605412 2979210824 5958421648 11916843296 16013258179 23833686592 32026516358 47667373184 64053032716 95334746368 128106065432 256212130864 512424261728 1024848523456 2049697046912 4099394093824