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5027631525162 = 234317161722853
BaseRepresentation
bin100100100101001011000…
…1100001110110100101010
3122210122012021201001010000
41021022112030032310222
51124333042132301122
614405355000003430
71026143252564421
oct111122614166452
918718167631100
105027631525162
11166922aa20374
1269247b760576
132a614685a95c
141354a541a2b8
158aba84500ac
hex4929630ed2a

5027631525162 has 160 divisors (see below), whose sum is σ = 11812444959744. Its totient is φ = 1596312748800.

The previous prime is 5027631525149. The next prime is 5027631525167. The reversal of 5027631525162 is 2615251367205.

It is a happy number.

5027631525162 is a `hidden beast` number, since 5 + 0 + 2 + 7 + 63 + 1 + 525 + 1 + 62 = 666.

It is not an unprimeable number, because it can be changed into a prime (5027631525167) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 219987328 + ... + 220010180.

Almost surely, 25027631525162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5027631525162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5906222479872).

5027631525162 is an abundant number, since it is smaller than the sum of its proper divisors (6784813434582).

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

5027631525162 is a wasteful number, since it uses less digits than its factorization.

5027631525162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23586 (or 23577 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 5027631525162 in words is "five trillion, twenty-seven billion, six hundred thirty-one million, five hundred twenty-five thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 71 81 93 142 162 186 213 279 426 558 617 639 837 1234 1278 1674 1851 1917 2201 2511 3702 3834 4402 5022 5553 5751 6603 11106 11502 13206 16659 19127 19809 22853 33318 38254 39618 43807 45706 49977 57381 59427 68559 87614 99954 114762 118854 131421 137118 172143 178281 205677 262842 344286 356562 394263 411354 516429 617031 708443 788526 1032858 1182789 1234062 1358017 1416886 1549287 1622563 1851093 2125329 2365578 2716034 3098574 3245126 3548367 3702186 4074051 4250658 4867689 6375987 7096734 8148102 9735378 12222153 12751974 14100301 14603067 19127961 24444306 28200602 29206134 36666459 38255922 42300903 43809201 50299453 57383883 73332918 84601806 87618402 100598906 109999377 114767766 126902709 131427603 150898359 219998754 253805418 262855206 301796718 380708127 437109331 452695077 761416254 874218662 905390154 1001121371 1142124381 1311327993 1358085231 2002242742 2284248762 2622655986 2716170462 3003364113 3933983979 4074255693 6006728226 7867967958 8148511386 9010092339 11801951937 18020184678 23603903874 27030277017 31034762501 35405855811 54060554034 62069525002 70811711622 81090831051 93104287503 162181662102 186208575006 279312862509 558625725018 837938587527 1675877175054 2513815762581 5027631525162