Search a number
-
+
53376377107840 = 2755912711130467
BaseRepresentation
bin11000010001011101001111…
…11111110011010110000000
320222222201202111100122120221
430020232213333303112000
523444004310014422330
6305304434044312424
714146213245334423
oct1410564777632600
9228881674318527
1053376377107840
11160098813a3696
125ba0848842714
1323a24a874c7c7
14d2760518d9ba
15628696e4bb7a
hex308ba7ff3580

53376377107840 has 128 divisors (see below), whose sum is σ = 130787451187200. Its totient is φ = 20823410055168.

The previous prime is 53376377107799. The next prime is 53376377107847. The reversal of 53376377107840 is 4870177367335.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53376377107847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 769714 + ... + 10360753.

It is an arithmetic number, because the mean of its divisors is an integer number (1021776962400).

Almost surely, 253376377107840 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 53376377107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65393725593600).

53376377107840 is an abundant number, since it is smaller than the sum of its proper divisors (77411074079360).

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

53376377107840 is a wasteful number, since it uses less digits than its factorization.

53376377107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11130672 (or 11130660 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 61.

The spelling of 53376377107840 in words is "fifty-three trillion, three hundred seventy-six billion, three hundred seventy-seven million, one hundred seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 127 128 160 236 254 295 320 472 508 590 635 640 944 1016 1180 1270 1888 2032 2360 2540 3776 4064 4720 5080 7493 7552 8128 9440 10160 14986 16256 18880 20320 29972 37465 37760 40640 59944 74930 81280 119888 149860 239776 299720 479552 599440 959104 1198880 2397760 4795520 11130467 22260934 44521868 55652335 89043736 111304670 178087472 222609340 356174944 445218680 656697553 712349888 890437360 1313395106 1413569309 1424699776 1780874720 2626790212 2827138618 3283487765 3561749440 5253580424 5654277236 6566975530 7067846545 7123498880 10507160848 11308554472 13133951060 14135693090 21014321696 22617108944 26267902120 28271386180 42028643392 45234217888 52535804240 56542772360 83400589231 84057286784 90468435776 105071608480 113085544720 166801178462 180936871552 210143216960 226171089440 333602356924 417002946155 420286433920 452342178880 667204713848 834005892310 904684357760 1334409427696 1668011784620 2668818855392 3336023569240 5337637710784 6672047138480 10675275421568 13344094276960 26688188553920 53376377107840