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5302146032556 = 2232327934730469
BaseRepresentation
bin100110100101000000010…
…0001111110001110101100
3200202212202200011220101120
41031022000201332032230
51143332243341020211
615135434450340540
71055032056443262
oct115120041761654
920685680156346
105302146032556
11176469a23288a
12717711b8a750
132c5cb46aa309
141448a7918432
1592dc34dbd06
hex4d28087e3ac

5302146032556 has 144 divisors (see below), whose sum is σ = 13134841843200. Its totient is φ = 1664275257216.

The previous prime is 5302146032531. The next prime is 5302146032611. The reversal of 5302146032556 is 6552306412035.

It is a happy number.

It is a super-2 number, since 2×53021460325562 (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 174002490 + ... + 174032958.

Almost surely, 25302146032556 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 5302146032556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567420921600).

5302146032556 is an abundant number, since it is smaller than the sum of its proper divisors (7832695810644).

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

5302146032556 is a wasteful number, since it uses less digits than its factorization.

5302146032556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30948 (or 30923 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 5302146032556 in words is "five trillion, three hundred two billion, one hundred forty-six million, thirty-two thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 23 46 69 79 92 138 158 237 276 316 347 474 529 694 948 1041 1058 1388 1587 1817 2082 2116 3174 3634 4164 5451 6348 7268 7981 10902 15962 21804 23943 27413 30469 31924 41791 47886 54826 60938 82239 83582 91407 95772 109652 121876 125373 164478 167164 182814 183563 250746 328956 365628 367126 501492 550689 630499 700787 734252 1101378 1260998 1401574 1891497 2102361 2202756 2407051 2521996 2803148 3782994 4204722 4814102 7221153 7565988 8409444 9628204 10572743 14442306 14501477 16118101 21145486 28884612 29002954 31718229 32236202 42290972 43504431 48354303 55362173 58005908 63436458 64472404 87008862 96708606 110724346 126872916 166086519 174017724 193417212 221448692 243173089 332173038 486346178 664346076 729519267 835246697 972692356 1273329979 1459038534 1670493394 2505740091 2546659958 2918077068 3340986788 3819989937 5011480182 5093319916 5592981047 7639979874 10022960364 11185962094 15279959748 16778943141 19210674031 22371924188 33557886282 38421348062 57632022093 67115772564 76842696124 115264044186 230528088372 441845502713 883691005426 1325536508139 1767382010852 2651073016278 5302146032556