Search a number
-
+
154563611680 = 2555343941519
BaseRepresentation
bin1000111111110010110…
…1011000110000100000
3112202221210201000012101
42033330231120300200
510013021241033210
6155001110340144
714111142010402
oct2177455306040
9482853630171
10154563611680
115a606147155
1225b5705a654
1311762b98aba
1476a38d8b72
154049585a3a
hex23fcb58c20

154563611680 has 96 divisors (see below), whose sum is σ = 372902745600. Its totient is φ = 60519293952.

The previous prime is 154563611623. The next prime is 154563611693. The reversal of 154563611680 is 86116365451.

154563611680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 154563611680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3701961 + ... + 3743479.

It is an arithmetic number, because the mean of its divisors is an integer number (3884403600).

Almost surely, 2154563611680 is an apocalyptic number.

154563611680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154563611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186451372800).

154563611680 is an abundant number, since it is smaller than the sum of its proper divisors (218339133920).

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

154563611680 is a wasteful number, since it uses less digits than its factorization.

154563611680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42026 (or 42018 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 154563611680 in words is "one hundred fifty-four billion, five hundred sixty-three million, six hundred eleven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 439 530 848 878 1060 1696 1756 2120 2195 3512 4240 4390 7024 8480 8780 14048 17560 23267 35120 41519 46534 70240 83038 93068 116335 166076 186136 207595 232670 332152 372272 415190 465340 664304 744544 830380 930680 1328608 1660760 1861360 2200507 3321520 3722720 4401014 6643040 8802028 11002535 17604056 18226841 22005070 35208112 36453682 44010140 70416224 72907364 88020280 91134205 145814728 176040560 182268410 291629456 352081120 364536820 583258912 729073640 966022573 1458147280 1932045146 2916294560 3864090292 4830112865 7728180584 9660225730 15456361168 19320451460 30912722336 38640902920 77281805840 154563611680