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245023320542 = 2711133123916519
BaseRepresentation
bin1110010000110010000…
…1110010100111011110
3212102110002121100022212
43210030201302213132
513003301432224132
6304321232040422
723462622601130
oct3441441624736
9772402540285
10245023320542
1194a06305320
123b5a1993112
131a14b006c50
14bc058a1050
156590e6c5b2
hex390c8729de

245023320542 has 128 divisors (see below), whose sum is σ = 511554355200. Its totient is φ = 84915734400.

The previous prime is 245023320491. The next prime is 245023320587.

245023320542 is nontrivially palindromic in base 10.

245023320542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 245023320499 and 245023320508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14824559 + ... + 14841077.

It is an arithmetic number, because the mean of its divisors is an integer number (3996518400).

Almost surely, 2245023320542 is an apocalyptic number.

245023320542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

245023320542 is an abundant number, since it is smaller than the sum of its proper divisors (266531034658).

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

245023320542 is a wasteful number, since it uses less digits than its factorization.

245023320542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16822.

The product of its (nonzero) digits is 57600, while the sum is 32.

It can be divided in two parts, 245023 and 320542, that added together give a palindrome (565565).

The spelling of 245023320542 in words is "two hundred forty-five billion, twenty-three million, three hundred twenty thousand, five hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 31 62 77 91 143 154 182 217 239 286 341 403 434 478 682 806 1001 1673 2002 2387 2629 2821 3107 3346 4433 4774 5258 5642 6214 7409 8866 14818 16519 18403 21749 31031 33038 34177 36806 43498 51863 62062 68354 81499 96317 103726 115633 162998 181709 192634 214747 231266 239239 363418 429494 478478 512089 570493 674219 1024178 1059487 1140986 1271963 1348438 1503229 2118974 2362217 2543926 3006458 3584623 3948041 4724434 5632979 6657157 7169246 7416409 7896082 11265958 13314314 14832818 16535519 27636287 33071038 39430853 43428451 46600099 51324533 55272574 73228727 78861706 86856902 93200198 102649066 122389271 146457454 244778542 303999157 359271731 512601089 564569863 607998314 718543462 856724897 1025202178 1129139726 1346281981 1591060523 1713449794 2692563962 3182121046 3951989041 7903978082 9423973867 11137423661 17501665753 18847947734 22274847322 35003331506 122511660271 245023320542