Search a number
-
+
11240552448 = 21132976287
BaseRepresentation
bin10100111011111110…
…10011100000000000
31002000101002020011100
422131333103200000
5141010040134243
65055220014400
7545360055636
oct123577234000
932011066140
1011240552448
114848aa9474
122218531400
1310a1a0ca88
14788c0b356
1545bc590d3
hex29dfd3800

11240552448 has 144 divisors (see below), whose sum is σ = 32804684640. Its totient is φ = 3707633664.

The previous prime is 11240552443. The next prime is 11240552459. The reversal of 11240552448 is 84425504211.

11240552448 is a `hidden beast` number, since 1 + 1 + 2 + 405 + 5 + 244 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11240552443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1784761 + ... + 1791047.

It is an arithmetic number, because the mean of its divisors is an integer number (227810310).

Almost surely, 211240552448 is an apocalyptic number.

11240552448 is a gapful number since it is divisible by the number (18) 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 11240552448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16402342320).

11240552448 is an abundant number, since it is smaller than the sum of its proper divisors (21564132192).

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

11240552448 is an equidigital number, since it uses as much as digits as its factorization.

11240552448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6412 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 11240552448 in words is "eleven billion, two hundred forty million, five hundred fifty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 256 288 291 384 388 512 576 582 768 776 873 1024 1152 1164 1536 1552 1746 2048 2304 2328 3072 3104 3492 4608 4656 6144 6208 6287 6984 9216 9312 12416 12574 13968 18432 18624 18861 24832 25148 27936 37248 37722 49664 50296 55872 56583 74496 75444 99328 100592 111744 113166 148992 150888 198656 201184 223488 226332 297984 301776 402368 446976 452664 595968 603552 609839 804736 893952 905328 1207104 1219678 1609472 1787904 1810656 1829517 2414208 2439356 3218944 3621312 3659034 4828416 4878712 5488551 6437888 7242624 7318068 9656832 9757424 10977102 12875776 14485248 14636136 19313664 19514848 21954204 28970496 29272272 38627328 39029696 43908408 57940992 58544544 78059392 87816816 115881984 117089088 156118784 175633632 234178176 312237568 351267264 468356352 624475136 702534528 936712704 1248950272 1405069056 1873425408 2810138112 3746850816 5620276224 11240552448