Search a number
-
+
5436758682096 = 2437241331202841
BaseRepresentation
bin100111100011101100000…
…0100011110100111110000
3201020202020001122000122020
41033013120010132213300
51203033440210311341
615321340142511440
71100535643206420
oct117073004364760
921222201560566
105436758682096
1118067975a3875
1273981b595580
133058b80aa971
1414b1d7854480
1596651291566
hex4f1d811e9f0

5436758682096 has 160 divisors (see below), whose sum is σ = 16166760546816. Its totient is φ = 1542233088000.

The previous prime is 5436758682053. The next prime is 5436758682133. The reversal of 5436758682096 is 6902868576345.

It is a self number, because there is not a number n which added to its sum of digits gives 5436758682096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26701636 + ... + 26904476.

Almost surely, 25436758682096 is an apocalyptic number.

5436758682096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5436758682096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8083380273408).

5436758682096 is an abundant number, since it is smaller than the sum of its proper divisors (10730001864720).

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

5436758682096 is a wasteful number, since it uses less digits than its factorization.

5436758682096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203431 (or 203425 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 69.

The spelling of 5436758682096 in words is "five trillion, four hundred thirty-six billion, seven hundred fifty-eight million, six hundred eighty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 241 331 336 482 662 723 964 993 1324 1446 1687 1928 1986 2317 2648 2892 3374 3856 3972 4634 5061 5296 5784 6748 6951 7944 9268 10122 11568 13496 13902 15888 18536 20244 26992 27804 37072 40488 55608 79771 80976 111216 159542 202841 239313 319084 405682 478626 558397 608523 638168 811364 957252 1116794 1217046 1276336 1419887 1622728 1675191 1914504 2233588 2434092 2839774 3245456 3350382 3829008 4259661 4467176 4868184 5679548 6700764 8519322 8934352 9736368 11359096 13401528 17038644 22718192 26803056 34077288 48884681 67140371 68154576 97769362 134280742 146654043 195538724 201421113 268561484 293308086 342192767 391077448 402842226 469982597 537122968 586616172 684385534 782154896 805684452 939965194 1026578301 1074245936 1173232344 1368771068 1409947791 1611368904 1879930388 2053156602 2346464688 2737542136 2819895582 3222737808 3759860776 4106313204 5475084272 5639791164 7519721552 8212626408 11279582328 16180829411 16425252816 22559164656 32361658822 48542488233 64723317644 97084976466 113265805877 129446635288 194169952932 226531611754 258893270576 339797417631 388339905864 453063223508 679594835262 776679811728 906126447016 1359189670524 1812252894032 2718379341048 5436758682096