Search a number
-
+
11915473720 = 235314325197
BaseRepresentation
bin10110001100011011…
…11011001100111000
31010202102001210002111
423012031323030320
5143400330124340
65250205542104
7601163566303
oct130615731470
933672053074
1011915473720
115064a79847
122386574934
13117b7ab187
148106d7b3a
1549b125aea
hex2c637b338

11915473720 has 96 divisors (see below), whose sum is σ = 28338664320. Its totient is φ = 4504308480.

The previous prime is 11915473693. The next prime is 11915473721. The reversal of 11915473720 is 2737451911.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11915473721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2290162 + ... + 2295358.

It is an arithmetic number, because the mean of its divisors is an integer number (295194420).

Almost surely, 211915473720 is an apocalyptic number.

11915473720 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 11915473720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14169332160).

11915473720 is an abundant number, since it is smaller than the sum of its proper divisors (16423190600).

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

11915473720 is a wasteful number, since it uses less digits than its factorization.

11915473720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5325 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 11915473720 in words is "eleven billion, nine hundred fifteen million, four hundred seventy-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 43 62 86 124 155 172 215 248 310 344 430 620 860 1240 1333 1720 1849 2666 3698 5197 5332 6665 7396 9245 10394 10664 13330 14792 18490 20788 25985 26660 36980 41576 51970 53320 57319 73960 103940 114638 161107 207880 223471 229276 286595 322214 446942 458552 573190 644428 805535 893884 1117355 1146380 1288856 1611070 1787768 2234710 2292760 3222140 4469420 6444280 6927601 8938840 9609253 13855202 19218506 27710404 34638005 38437012 48046265 55420808 69276010 76874024 96092530 138552020 192185060 277104040 297886843 384370120 595773686 1191547372 1489434215 2383094744 2978868430 5957736860 11915473720