Search a number
-
+
2481088358616 = 2337127659176459
BaseRepresentation
bin100100000110101100011…
…000111110100011011000
322210012010022110122022020
4210012230120332203120
5311122232104433431
65135443554054440
7344152453036620
oct44065430764330
98705108418266
102481088358616
1187725077319a
12340a2757a420
1314cc726404aa
148812a179880
15448136cb696
hex241ac63e8d8

2481088358616 has 128 divisors (see below), whose sum is σ = 7155523584000. Its totient is φ = 702229433472.

The previous prime is 2481088358531. The next prime is 2481088358659. The reversal of 2481088358616 is 6168538801842.

It is a self number, because there is not a number n which added to its sum of digits gives 2481088358616.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13972195 + ... + 14148653.

It is an arithmetic number, because the mean of its divisors is an integer number (55902528000).

Almost surely, 22481088358616 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 2481088358616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577761792000).

2481088358616 is an abundant number, since it is smaller than the sum of its proper divisors (4674435225384).

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

2481088358616 is a wasteful number, since it uses less digits than its factorization.

2481088358616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177261 (or 177257 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 60.

The spelling of 2481088358616 in words is "two trillion, four hundred eighty-one billion, eighty-eight million, three hundred fifty-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 508 659 762 889 1016 1318 1524 1778 1977 2636 2667 3048 3556 3954 4613 5272 5334 7112 7908 9226 10668 13839 15816 18452 21336 27678 36904 55356 83693 110712 167386 176459 251079 334772 352918 502158 529377 585851 669544 705836 1004316 1058754 1171702 1235213 1411672 1757553 2008632 2117508 2343404 2470426 3515106 3705639 4235016 4686808 4940852 7030212 7411278 9881704 14060424 14822556 22410293 29645112 44820586 67230879 89641172 116286481 134461758 156872051 179282344 232572962 268923516 313744102 348859443 465145924 470616153 537847032 627488204 697718886 814005367 930291848 941232306 1254976408 1395437772 1628010734 1882464612 2442016101 2790875544 3256021468 3764929224 4884032202 6512042936 9768064404 14768383087 19536128808 29536766174 44305149261 59073532348 88610298522 103378681609 118147064696 177220597044 206757363218 310136044827 354441194088 413514726436 620272089654 827029452872 1240544179308 2481088358616