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268473374862 = 237112113467507
BaseRepresentation
bin1111101000001001000…
…0101001100010001110
3221122222101000112101020
43322002100221202032
513344313140443422
6323200204055010
725253010014340
oct3720220514216
9848871015336
10268473374862
11a394a248200
1244047234466
131c4173b1734
14cdcc063290
156eb4a2b95c
hex3e8242988e

268473374862 has 96 divisors (see below), whose sum is σ = 680482204416. Its totient is φ = 69116087040.

The previous prime is 268473374831. The next prime is 268473374879.

It is a happy number.

268473374862 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 268473374796 and 268473374805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340513 + ... + 808019.

It is an arithmetic number, because the mean of its divisors is an integer number (7088356296).

Almost surely, 2268473374862 is an apocalyptic number.

268473374862 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 268473374862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340241102208).

268473374862 is an abundant number, since it is smaller than the sum of its proper divisors (412008829554).

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

268473374862 is a wasteful number, since it uses less digits than its factorization.

268473374862 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467654 (or 467643 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 60.

The spelling of 268473374862 in words is "two hundred sixty-eight billion, four hundred seventy-three million, three hundred seventy-four thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 113 121 154 226 231 242 339 363 462 678 726 791 847 1243 1582 1694 2373 2486 2541 3729 4746 5082 7458 8701 13673 17402 26103 27346 41019 52206 82038 95711 191422 287133 467507 574266 935014 1402521 2805042 3272549 5142577 6545098 9817647 10285154 15427731 19635294 30855462 35998039 52828291 56568347 71996078 105656582 107994117 113136694 158484873 169705041 215988234 316969746 339410082 369798037 395978429 581111201 739596074 791956858 1109394111 1162222402 1187935287 1743333603 2218788222 2375870574 3486667206 4067778407 6392223211 8135556814 12203335221 12784446422 19176669633 24406670442 38353339266 44745562477 89491124954 134236687431 268473374862