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13530540024 = 2334531632417
BaseRepresentation
bin11001001100111101…
…11010011111111000
31021220222002122120000
430212132322133320
5210202304240044
610114342233000
7656204456361
oct144636723770
937828078500
1013530540024
115813700a91
122757425760
13137828a801
14924dd0b68
15542cedd69
hex3267ba7f8

13530540024 has 160 divisors (see below), whose sum is σ = 38866061520. Its totient is φ = 4396114944.

The previous prime is 13530540019. The next prime is 13530540031. The reversal of 13530540024 is 42004503531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13530540024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5596864 + ... + 5599280.

Almost surely, 213530540024 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 13530540024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19433030760).

13530540024 is an abundant number, since it is smaller than the sum of its proper divisors (25335521496).

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

13530540024 is a wasteful number, since it uses less digits than its factorization.

13530540024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 13530540024 in words is "thirteen billion, five hundred thirty million, five hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 163 212 216 318 324 326 424 477 489 636 648 652 954 978 1272 1304 1431 1467 1908 1956 2417 2862 2934 3816 3912 4293 4401 4834 5724 5868 7251 8586 8639 8802 9668 11448 11736 13203 14502 17172 17278 17604 19336 21753 25917 26406 29004 34344 34556 35208 43506 51834 52812 58008 65259 69112 77751 87012 103668 105624 128101 130518 155502 174024 195777 207336 233253 256202 261036 311004 384303 391554 393971 466506 512404 522072 622008 699759 768606 783108 787942 933012 1024808 1152909 1181913 1399518 1537212 1566216 1575884 1866024 2305818 2363826 2799036 3074424 3151768 3458727 3545739 4611636 4727652 5598072 6917454 7091478 9223272 9455304 10376181 10637217 13834908 14182956 20752362 20880463 21274434 27669816 28365912 31911651 41504724 41760926 42548868 62641389 63823302 83009448 83521852 85097736 125282778 127646604 167043704 187924167 250565556 255293208 375848334 501131112 563772501 751696668 1127545002 1503393336 1691317503 2255090004 3382635006 4510180008 6765270012 13530540024