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193413941211768 = 233233192931216273
BaseRepresentation
bin101011111110100010110001…
…010000101011001001111000
3221100211012012010002101110120
4223332202301100223021320
5200322343222422234033
61523205045444413240
755511460524304504
oct5376426120531170
9840735163071416
10193413941211768
115669a434583122
1219838b016a7220
1383bcb19669224
1435a93db323304
1517562191581b3
hexafe8b142b278

193413941211768 has 128 divisors (see below), whose sum is σ = 520890649620480. Its totient is φ = 59672444958720.

The previous prime is 193413941211739. The next prime is 193413941211811. The reversal of 193413941211768 is 867112149314391.

193413941211768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158413680 + ... + 159629952.

It is an arithmetic number, because the mean of its divisors is an integer number (4069458200160).

Almost surely, 2193413941211768 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 193413941211768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260445324810240).

193413941211768 is an abundant number, since it is smaller than the sum of its proper divisors (327476708408712).

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

193413941211768 is a wasteful number, since it uses less digits than its factorization.

193413941211768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225629 (or 1225625 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 60.

The spelling of 193413941211768 in words is "one hundred ninety-three trillion, four hundred thirteen billion, nine hundred forty-one million, two hundred eleven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 552 713 744 1426 2139 2852 4278 5704 8556 9293 17112 18586 27879 37172 55758 74344 111516 213739 223032 288083 427478 576166 641217 854956 864249 1152332 1216273 1282434 1709912 1728498 2304664 2432546 2564868 3456996 3648819 4865092 5129736 6625909 6913992 7297638 9730184 13251818 14595276 19877727 26503636 27974279 29190552 37704463 39755454 53007272 55948558 75408926 79510908 83922837 111897116 113113389 150817852 159021816 167845674 223794232 226226778 301635704 335691348 452453556 671382696 867202649 904907112 1734405298 2601607947 3468810596 5203215894 6937621192 10406431788 11302824989 20812863576 22605649978 33908474967 45211299956 67816949934 90422599912 135633899868 259964974747 271267799736 350387574659 519929949494 700775149318 779894924241 1039859898988 1051162723977 1401550298636 1559789848482 2079719797976 2102325447954 2803100597272 3119579696964 4204650895908 6239159393928 8058914217157 8409301791816 16117828434314 24176742651471 32235656868628 48353485302942 64471313737256 96706970605884 193413941211768