Search a number
-
+
5003401368 = 233733716427
BaseRepresentation
bin1001010100011100…
…11101100010011000
3110220200210010100210
410222032131202120
540221332320433
62144252131120
7234663132000
oct45216354230
913820703323
105003401368
112138320559
12b77766aa0
1361977cb34
14356709000
151e43c9463
hex12a39d898

5003401368 has 128 divisors (see below), whose sum is σ = 14982336000. Its totient is φ = 1390822272.

The previous prime is 5003401363. The next prime is 5003401369. The reversal of 5003401368 is 8631043005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5003401363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296371 + ... + 312797.

It is an arithmetic number, because the mean of its divisors is an integer number (117049500).

Almost surely, 25003401368 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 5003401368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7491168000).

5003401368 is an abundant number, since it is smaller than the sum of its proper divisors (9978934632).

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

5003401368 is a wasteful number, since it uses less digits than its factorization.

5003401368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16494 (or 16476 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5003401368 is about 70734.7253334598. The cubic root of 5003401368 is about 1710.3636092822.

The spelling of 5003401368 in words is "five billion, three million, four hundred one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 49 56 74 84 98 111 147 148 168 196 222 259 294 296 343 392 444 518 588 686 777 888 1029 1036 1176 1372 1554 1813 2058 2072 2744 3108 3626 4116 5439 6216 7252 8232 10878 12691 14504 16427 21756 25382 32854 38073 43512 49281 50764 65708 76146 98562 101528 114989 131416 152292 197124 229978 304584 344967 394248 459956 607799 689934 804923 919912 1215598 1379868 1609846 1823397 2414769 2431196 2759736 3219692 3646794 4254593 4829538 4862392 5634461 6439384 7293588 8509186 9659076 11268922 12763779 14587176 16903383 17018372 19318152 22537844 25527558 29782151 33806766 34036744 45075688 51055116 59564302 67613532 89346453 102110232 119128604 135227064 178692906 208475057 238257208 357385812 416950114 625425171 714771624 833900228 1250850342 1667800456 2501700684 5003401368