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11148215148 = 22327297320897
BaseRepresentation
bin10100110000111110…
…00100001101101100
31001202221100000012100
422120133010031230
5140312420341043
65042120535100
7543156156660
oct123037041554
931687300170
1011148215148
114800971054
1221b1621490
131088850015
1477a8528a0
15453ab9cd3
hex2987c436c

11148215148 has 144 divisors (see below), whose sum is σ = 33774511680. Its totient is φ = 3033096192.

The previous prime is 11148215147. The next prime is 11148215153. The reversal of 11148215148 is 84151284111.

11148215148 is a `hidden beast` number, since 1 + 114 + 8 + 21 + 514 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11148215147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523036 + ... + 543932.

It is an arithmetic number, because the mean of its divisors is an integer number (234545220).

Almost surely, 211148215148 is an apocalyptic number.

11148215148 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 11148215148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16887255840).

11148215148 is an abundant number, since it is smaller than the sum of its proper divisors (22626296532).

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

11148215148 is a wasteful number, since it uses less digits than its factorization.

11148215148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21016 (or 21011 counting only the distinct ones).

The product of its digits is 10240, while the sum is 36.

Adding to 11148215148 its reverse (84151284111), we get a palindrome (95299499259).

The spelling of 11148215148 in words is "eleven billion, one hundred forty-eight million, two hundred fifteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 73 84 87 116 126 146 174 203 219 252 261 292 348 406 438 511 522 609 657 812 876 1022 1044 1218 1314 1533 1827 2044 2117 2436 2628 3066 3654 4234 4599 6132 6351 7308 8468 9198 12702 14819 18396 19053 20897 25404 29638 38106 41794 44457 59276 62691 76212 83588 88914 125382 133371 146279 177828 188073 250764 266742 292558 376146 438837 533484 585116 606013 752292 877674 1212026 1316511 1525481 1755348 1818039 2424052 2633022 3050962 3636078 4242091 4576443 5266044 5454117 6101924 7272156 8484182 9152886 10678367 10908234 12726273 13729329 16968364 18305772 21356734 21816468 25452546 27458658 32035101 38178819 42713468 44238949 50905092 54917316 64070202 76357638 88477898 96105303 128140404 132716847 152715276 176955796 192210606 265433694 309672643 384421212 398150541 530867388 619345286 796301082 929017929 1238690572 1592602164 1858035858 2787053787 3716071716 5574107574 11148215148