Search a number
-
+
5356535234640 = 2435173593657037
BaseRepresentation
bin100110111110010101001…
…1000010100000001010000
3200222002011011001122100120
41031330222120110001100
51200230141010002030
615220431443550240
71061665636152462
oct115745230240120
920862134048316
105356535234640
11178576a54a377
1272617098b380
132cb17189c225
14147387152132
1594508386010
hex4df2a614050

5356535234640 has 160 divisors (see below), whose sum is σ = 17631019042560. Its totient is φ = 1340640141312.

The previous prime is 5356535234639. The next prime is 5356535234723. The reversal of 5356535234640 is 464325356535.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363799 + ... + 3293238.

It is an arithmetic number, because the mean of its divisors is an integer number (110193869016).

Almost surely, 25356535234640 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 5356535234640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8815509521280).

5356535234640 is an abundant number, since it is smaller than the sum of its proper divisors (12274483807920).

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

5356535234640 is a wasteful number, since it uses less digits than its factorization.

5356535234640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657429 (or 3657423 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 51.

The spelling of 5356535234640 in words is "five trillion, three hundred fifty-six billion, five hundred thirty-five million, two hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 359 408 510 680 718 816 1020 1077 1360 1436 1795 2040 2154 2872 3590 4080 4308 5385 5744 6103 7180 8616 10770 12206 14360 17232 18309 21540 24412 28720 30515 36618 43080 48824 61030 73236 86160 91545 97648 122060 146472 183090 244120 292944 366180 488240 732360 1464720 3657037 7314074 10971111 14628148 18285185 21942222 29256296 36570370 43884444 54855555 58512592 62169629 73140740 87768888 109711110 124339258 146281480 175537776 186508887 219422220 248678516 292562960 310848145 373017774 438844440 497357032 621696290 746035548 877688880 932544435 994714064 1243392580 1312876283 1492071096 1865088870 2486785160 2625752566 2984142192 3730177740 3938628849 4973570320 5251505132 6564381415 7460355480 7877257698 10503010264 13128762830 14920710960 15754515396 19693144245 21006020528 22318896811 26257525660 31509030792 39386288490 44637793622 52515051320 63018061584 66956690433 78772576980 89275587244 105030102640 111594484055 133913380866 157545153960 178551174488 223188968110 267826761732 315090307920 334783452165 357102348976 446377936220 535653523464 669566904330 892755872440 1071307046928 1339133808660 1785511744880 2678267617320 5356535234640