Search a number
-
+
6240362507274 = 2378919742120129
BaseRepresentation
bin101101011001111001010…
…0101110010110000001010
3211002120110121000001101110
41122303302211302300022
51304220230300213044
621134441041431150
71212565000054410
oct132636245626012
924076417001343
106240362507274
111a96582a49785
1284951093b4b6
1336360487656c
1417806c6832b0
15ac4d5b4d6b9
hex5acf2972c0a

6240362507274 has 128 divisors (see below), whose sum is σ = 14532326899200. Its totient is φ = 1749725429760.

The previous prime is 6240362507273. The next prime is 6240362507311. The reversal of 6240362507274 is 4727052630426.

It is a super-2 number, since 2×62403625072742 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6240362507273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310008442 + ... + 310028570.

It is an arithmetic number, because the mean of its divisors is an integer number (113533803900).

Almost surely, 26240362507274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6240362507274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7266163449600).

6240362507274 is an abundant number, since it is smaller than the sum of its proper divisors (8291964391926).

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

6240362507274 is a wasteful number, since it uses less digits than its factorization.

6240362507274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20848.

The product of its (nonzero) digits is 3386880, while the sum is 48.

The spelling of 6240362507274 in words is "six trillion, two hundred forty billion, three hundred sixty-two million, five hundred seven thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 89 178 197 267 394 421 534 591 623 842 1182 1246 1263 1379 1869 2526 2758 2947 3738 4137 5894 8274 8841 17533 17682 20129 35066 37469 40258 52599 60387 74938 82937 105198 112407 120774 122731 140903 165874 224814 245462 248811 262283 281806 368193 422709 497622 524566 580559 736386 786849 845418 1161118 1573698 1741677 1791481 3483354 3582962 3965413 5374443 7381393 7930826 8474309 10748886 11896239 12540367 14762786 16948618 22144179 23792478 25080734 25422927 27757891 37621101 44288358 50845854 51669751 55515782 59320163 75242202 83273673 103339502 118640326 155009253 166547346 177960489 310018506 352921757 355920978 705843514 754213501 1058765271 1508427002 1669438873 2117530542 2262640503 2470452299 3338877746 4525281006 4940904598 5008316619 5279494507 7411356897 10016633238 10558989014 11686072111 14822713794 15838483521 23372144222 31676967042 35058216333 70116432666 148580059697 297160119394 445740179091 891480358182 1040060417879 2080120835758 3120181253637 6240362507274