Search a number
-
+
55334554716270 = 23547193401507079
BaseRepresentation
bin11001001010011100101000…
…11110100100100001101110
321020220221011020222212210110
430211032110132210201232
524223100132001410040
6313404202110320450
714440534564354644
oct1445162436444156
9236827136885713
1055334554716270
11166a42866286a5
12625825a4b9126
1324b50455016cb
14d942c740b194
1565e5a3464980
hex3253947a486e

55334554716270 has 128 divisors (see below), whose sum is σ = 136671511818240. Its totient is φ = 14331241267200.

The previous prime is 55334554716151. The next prime is 55334554716271. The reversal of 55334554716270 is 7261745543355.

It is a self number, because there is not a number n which added to its sum of digits gives 55334554716270.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55334554716271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108870591 + ... + 109377669.

It is an arithmetic number, because the mean of its divisors is an integer number (1067746186080).

Almost surely, 255334554716270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55334554716270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68335755909120).

55334554716270 is an abundant number, since it is smaller than the sum of its proper divisors (81336957101970).

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

55334554716270 is a wasteful number, since it uses less digits than its factorization.

55334554716270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507730.

The product of its (nonzero) digits is 52920000, while the sum is 57.

The spelling of 55334554716270 in words is "fifty-five trillion, three hundred thirty-four billion, five hundred fifty-four million, seven hundred sixteen thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 193 235 282 386 401 470 579 705 802 965 1158 1203 1410 1930 2005 2406 2895 4010 5790 6015 9071 12030 18142 18847 27213 37694 45355 54426 56541 77393 90710 94235 113082 136065 154786 188470 232179 272130 282705 386965 464358 507079 565410 773930 1014158 1160895 1521237 2321790 2535395 3042474 3637471 5070790 7274942 7606185 10912413 15212370 18187355 21824826 23832713 36374710 47665426 54562065 71498139 97866247 109124130 119163565 142996278 195732494 203338679 238327130 293598741 357490695 406677358 489331235 587197482 610016037 714981390 978662470 1016693395 1220032074 1467993705 2033386790 2935987410 3050080185 4599713609 6100160370 9199427218 9556917913 13799140827 19113835826 22998568045 27598281654 28670753739 39244365047 45997136090 47784589565 57341507478 68995704135 78488730094 95569179130 117733095141 137991408270 143353768695 196221825235 235466190282 286707537390 392443650470 588665475705 1177330951410 1844485157209 3688970314418 5533455471627 9222425786045 11066910943254 18444851572090 27667277358135 55334554716270