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5302425524032 = 267137717117979
BaseRepresentation
bin100110100101001000100…
…1100001001011101000000
3200202220111011002112121201
41031022101030021131000
51143333331413232112
615135522313030544
71055042022205240
oct115122114113500
920686434075551
105302425524032
111764822a7997a
1271778b6b5454
132c602a5773a0
141448d2aadb20
1592ddcce9257
hex4d291309740

5302425524032 has 112 divisors (see below), whose sum is σ = 12951942559360. Its totient is φ = 2097373243392.

The previous prime is 5302425524029. The next prime is 5302425524047. The reversal of 5302425524032 is 2304255242035.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 5302425523982 and 5302425524000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44884819 + ... + 45002797.

It is an arithmetic number, because the mean of its divisors is an integer number (115642344280).

Almost surely, 25302425524032 is an apocalyptic number.

5302425524032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5302425524032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6475971279680).

5302425524032 is an abundant number, since it is smaller than the sum of its proper divisors (7649517035328).

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

5302425524032 is a wasteful number, since it uses less digits than its factorization.

5302425524032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125728 (or 125718 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 37.

The spelling of 5302425524032 in words is "five trillion, three hundred two billion, four hundred twenty-five million, five hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 7717 15434 30868 54019 61736 100321 108038 117979 123472 200642 216076 235958 246944 401284 432152 471916 493888 702247 802568 825853 864304 943832 1404494 1533727 1605136 1651706 1728608 1887664 2808988 3067454 3210272 3303412 3457216 3775328 5617976 6134908 6420544 6606824 7550656 10736089 11235952 12269816 13213648 21472178 22471904 24539632 26427296 42944356 44943808 49079264 52854592 85888712 98158528 171777424 343554848 687109696 910443943 1820887886 3641775772 6373107601 7283551544 11835771259 12746215202 14567103088 23671542518 25492430404 29134206176 47343085036 50984860808 58268412352 82850398813 94686170072 101969721616 165700797626 189372340144 203939443232 331401595252 378744680288 407878886464 662803190504 757489360576 1325606381008 2651212762016 5302425524032