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11552244948 = 2234199072069
BaseRepresentation
bin10101100001001000…
…10100010011010100
31002211002120211220000
422300210110103110
5142124333314243
65150152411300
7556163314266
oct126044242324
932732524800
1011552244948
114998a39682
1222a49a6b30
1311214728ca
147b8385b36
154792c75d3
hex2b09144d4

11552244948 has 120 divisors (see below), whose sum is σ = 31839746400. Its totient is φ = 3642293952.

The previous prime is 11552244941. The next prime is 11552244959. The reversal of 11552244948 is 84944225511.

11552244948 is a `hidden beast` number, since 1 + 1 + 552 + 2 + 4 + 4 + 94 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11552244941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5582458 + ... + 5584526.

It is an arithmetic number, because the mean of its divisors is an integer number (265331220).

Almost surely, 211552244948 is an apocalyptic number.

11552244948 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 11552244948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15919873200).

11552244948 is an abundant number, since it is smaller than the sum of its proper divisors (20287501452).

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

11552244948 is a wasteful number, since it uses less digits than its factorization.

11552244948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 3000 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 11552244948 in words is "eleven billion, five hundred fifty-two million, two hundred forty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 907 1026 1539 1814 2052 2069 2721 3078 3628 4138 5442 6156 6207 8163 8276 10884 12414 16326 17233 18621 24489 24828 32652 34466 37242 39311 48978 51699 55863 68932 73467 74484 78622 97956 103398 111726 117933 146934 155097 157244 167589 206796 223452 235866 293868 310194 335178 353799 465291 471732 620388 670356 707598 930582 1061397 1395873 1415196 1861164 1876583 2122794 2791746 3184191 3753166 4245588 5583492 5629749 6368382 7506332 11259498 12736764 16889247 22518996 33778494 35655077 50667741 67556988 71310154 101335482 106965231 142620308 152003223 202670964 213930462 304006446 320895693 427860924 608012892 641791386 962687079 1283582772 1925374158 2888061237 3850748316 5776122474 11552244948