Search a number
-
+
116137577460 = 223513927315099
BaseRepresentation
bin110110000101001010…
…1101100101111110100
3102002202211100012211210
41230022111230233310
53400322204434320
6125204115201420
711250666056202
oct1541225545764
9362684305753
10116137577460
11452876a8983
121a6122a6270
13ac4ac35448
14589a3a6072
15304ad590e0
hex1b0a56cbf4

116137577460 has 96 divisors (see below), whose sum is σ = 327708864000. Its totient is φ = 30729928320.

The previous prime is 116137577459. The next prime is 116137577473. The reversal of 116137577460 is 64775731611.

116137577460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 22773991 + ... + 22779089.

It is an arithmetic number, because the mean of its divisors is an integer number (3413634000).

Almost surely, 2116137577460 is an apocalyptic number.

116137577460 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 116137577460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163854432000).

116137577460 is an abundant number, since it is smaller than the sum of its proper divisors (211571286540).

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

116137577460 is a wasteful number, since it uses less digits than its factorization.

116137577460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7981 (or 7979 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The spelling of 116137577460 in words is "one hundred sixteen billion, one hundred thirty-seven million, five hundred seventy-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2731 2780 4170 5099 5462 8193 8340 10198 10924 13655 15297 16386 20396 25495 27310 30594 32772 40965 50990 54620 61188 76485 81930 101980 152970 163860 305940 379609 708761 759218 1138827 1417522 1518436 1898045 2126283 2277654 2835044 3543805 3796090 4252566 4555308 5694135 7087610 7592180 8505132 10631415 11388270 13925369 14175220 21262830 22776540 27850738 41776107 42525660 55701476 69626845 83552214 139253690 167104428 208880535 278507380 417761070 835522140 1935626291 3871252582 5806878873 7742505164 9678131455 11613757746 19356262910 23227515492 29034394365 38712525820 58068788730 116137577460