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5340355536 = 24319103139409
BaseRepresentation
bin1001111100100111…
…10101101111010000
3111210011211011120210
410332103311233100
541414112334121
62241530204120
7246224162445
oct47623655720
914704734523
105340355536
1122a054517a
121050583640
13671518cb9
1438937b9cc
15213c87876
hex13e4f5bd0

5340355536 has 160 divisors (see below), whose sum is σ = 14804608000. Its totient is φ = 1653986304.

The previous prime is 5340355529. The next prime is 5340355549. The reversal of 5340355536 is 6355530435.

It is a junction number, because it is equal to n+sod(n) for n = 5340355494 and 5340355503.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 13056900 + ... + 13057308.

It is an arithmetic number, because the mean of its divisors is an integer number (92528800).

Almost surely, 25340355536 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 5340355536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402304000).

5340355536 is an abundant number, since it is smaller than the sum of its proper divisors (9464252464).

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

5340355536 is a wasteful number, since it uses less digits than its factorization.

5340355536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 39.

The square root of 5340355536 is about 73077.7362539371. The cubic root of 5340355536 is about 1747.9274005599.

The spelling of 5340355536 in words is "five billion, three hundred forty million, three hundred fifty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 103 114 139 152 206 228 278 304 309 409 412 417 456 556 618 818 824 834 912 1112 1227 1236 1636 1648 1668 1957 2224 2454 2472 2641 3272 3336 3914 4908 4944 5282 5871 6544 6672 7771 7828 7923 9816 10564 11742 14317 15542 15656 15846 19632 21128 23313 23484 28634 31084 31312 31692 42127 42256 42951 46626 46968 56851 57268 62168 63384 84254 85902 93252 93936 113702 114536 124336 126381 126768 168508 170553 171804 186504 227404 229072 252762 272023 337016 341106 343608 373008 454808 505524 544046 674032 682212 687216 800413 816069 909616 1011048 1080169 1088092 1364424 1600826 1632138 2022096 2160338 2176184 2401239 2728848 3201652 3240507 3264276 4320676 4352368 4802478 5855653 6403304 6481014 6528552 8641352 9604956 11711306 12806608 12962028 13057104 17282704 17566959 19209912 23422612 25924056 35133918 38419824 46845224 51848112 70267836 93690448 111257407 140535672 222514814 281071344 333772221 445029628 667544442 890059256 1335088884 1780118512 2670177768 5340355536