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33513416001052 = 2213231031093248903
BaseRepresentation
bin1111001111010111100110…
…10000011000011000011100
311101122211222120202012210121
413213223303100120120130
513343040433444013202
6155135503433244324
710026156455554441
oct747536320303034
9141584876665717
1033513416001052
11a750a617043a9
12391315b2636a4
1315913bc713380
1483c0b519d9c8
153d1b62d77537
hex1e7af341861c

33513416001052 has 96 divisors (see below), whose sum is σ = 66606997137408. Its totient is φ = 14638113794304.

The previous prime is 33513416000989. The next prime is 33513416001053. The reversal of 33513416001052 is 25010061431533.

It is a super-2 number, since 2×335134160010522 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33513416000999 and 33513416001017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33513416001053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134520033 + ... + 134768935.

It is an arithmetic number, because the mean of its divisors is an integer number (693822886848).

Almost surely, 233513416001052 is an apocalyptic number.

It is an amenable number.

33513416001052 is a deficient number, since it is larger than the sum of its proper divisors (33093581136356).

33513416001052 is a wasteful number, since it uses less digits than its factorization.

33513416001052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250139 (or 250137 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

Adding to 33513416001052 its reverse (25010061431533), we get a palindrome (58523477432585).

The spelling of 33513416001052 in words is "thirty-three trillion, five hundred thirteen billion, four hundred sixteen million, one thousand, fifty-two".

Divisors: 1 2 4 13 23 26 46 52 92 103 206 299 412 598 1093 1196 1339 2186 2369 2678 4372 4738 5356 9476 14209 25139 28418 30797 50278 56836 61594 100556 112579 123188 225158 248903 326807 450316 497806 653614 995612 1307228 1463527 2589317 2927054 3235739 5178634 5724769 5854108 6471478 10357268 11449538 12942956 22899076 25637009 33661121 51274018 67322242 74421997 102548036 134644484 148843994 272050979 297687988 333281117 544101958 589651207 666562234 1088203916 1179302414 1333124468 2358604828 3536662727 6257172517 7073325454 7665465691 12514345034 14146650908 15330931382 25028690068 28021250837 30661862764 56042501674 81343242721 112085003348 162686485442 325372970884 364276260881 644488769251 728552521762 1288977538502 1457105043524 2577955077004 8378354000263 16756708000526 33513416001052