Search a number
-
+
11255653104 = 2433114950767
BaseRepresentation
bin10100111101110001…
…11010001011110000
31002001102111102100220
422132320322023300
5141022421344404
65100515413040
7545632321113
oct123670721360
932042442326
1011255653104
114856582853
1222215b4180
1310a4b99187
1478ac1c57a
1545d23d4d9
hex29ee3a2f0

11255653104 has 80 divisors (see below), whose sum is σ = 30217113600. Its totient is φ = 3606416640.

The previous prime is 11255653091. The next prime is 11255653151. The reversal of 11255653104 is 40135655211.

It is a congruent number.

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, 196329 + ... + 247095.

It is an arithmetic number, because the mean of its divisors is an integer number (377713920).

Almost surely, 211255653104 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 11255653104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15108556800).

11255653104 is an abundant number, since it is smaller than the sum of its proper divisors (18961460496).

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

11255653104 is a wasteful number, since it uses less digits than its factorization.

11255653104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50958 (or 50952 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 11255653104 in words is "eleven billion, two hundred fifty-five million, six hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 149 186 248 298 372 447 496 596 744 894 1192 1488 1788 2384 3576 4619 7152 9238 13857 18476 27714 36952 50767 55428 73904 101534 110856 152301 203068 221712 304602 406136 609204 812272 1218408 1573777 2436816 3147554 4721331 6295108 7564283 9442662 12590216 15128566 18885324 22692849 25180432 30257132 37770648 45385698 60514264 75541296 90771396 121028528 181542792 234492773 363085584 468985546 703478319 937971092 1406956638 1875942184 2813913276 3751884368 5627826552 11255653104