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540453335352 = 233733746720441
BaseRepresentation
bin1111101110101011000…
…01110111000100111000
31220200000010022001221020
413313111201313010320
532323322023212402
61052140354342440
754021636360510
oct7672541670470
91820003261836
10540453335352
11199228900057
12888b088aa20
133bc700c71b8
141c22daba840
15e0d23168bc
hex7dd5877138

540453335352 has 128 divisors (see below), whose sum is σ = 1552126717440. Its totient is φ = 153619845120.

The previous prime is 540453335341. The next prime is 540453335371. The reversal of 540453335352 is 253533354045.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 26429452 + ... + 26449892.

It is an arithmetic number, because the mean of its divisors is an integer number (12125989980).

Almost surely, 2540453335352 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 540453335352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776063358720).

540453335352 is an abundant number, since it is smaller than the sum of its proper divisors (1011673382088).

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

540453335352 is a wasteful number, since it uses less digits than its factorization.

540453335352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21261 (or 21257 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 42.

Adding to 540453335352 its reverse (253533354045), we get a palindrome (793986689397).

The spelling of 540453335352 in words is "five hundred forty billion, four hundred fifty-three million, three hundred thirty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 337 467 674 934 1011 1348 1401 1868 2022 2359 2696 2802 3269 3736 4044 4718 5604 6538 7077 8088 9436 9807 11208 13076 14154 18872 19614 20441 26152 28308 39228 40882 56616 61323 78456 81764 122646 143087 157379 163528 245292 286174 314758 429261 472137 490584 572348 629516 858522 944274 1101653 1144696 1259032 1717044 1888548 2203306 3304959 3434088 3777096 4406612 6609918 6888617 8813224 9545947 13219836 13777234 19091894 20665851 26439672 27554468 28637841 38183788 41331702 48220319 55108936 57275682 66821629 76367576 82663404 96440638 114551364 133643258 144660957 165326808 192881276 200464887 229102728 267286516 289321914 385762552 400929774 534573032 578643828 801859548 1157287656 1603719096 3216984139 6433968278 9650952417 12867936556 19301904834 22518888973 25735873112 38603809668 45037777946 67556666919 77207619336 90075555892 135113333838 180151111784 270226667676 540453335352