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114553233152 = 2829106114543
BaseRepresentation
bin110101010101111100…
…1111001111100000000
3101221200102010012000222
41222223321321330000
53334101111430102
6124343001202212
711163510262451
oct1525371717400
9357612105028
10114553233152
114464434a616
121a24b790368
13aa579215c7
145789bc9128
152ea6bedaa2
hex1aabe79f00

114553233152 has 72 divisors (see below), whose sum is σ = 236783010240. Its totient is φ = 55245639680.

The previous prime is 114553233059. The next prime is 114553233167. The reversal of 114553233152 is 251332355411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7869593 + ... + 7884135.

It is an arithmetic number, because the mean of its divisors is an integer number (3288652920).

Almost surely, 2114553233152 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 114553233152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118391505120).

114553233152 is an abundant number, since it is smaller than the sum of its proper divisors (122229777088).

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

114553233152 is a wasteful number, since it uses less digits than its factorization.

114553233152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15649 (or 15635 counting only the distinct ones).

The product of its digits is 54000, while the sum is 35.

Adding to 114553233152 its reverse (251332355411), we get a palindrome (365885588563).

The spelling of 114553233152 in words is "one hundred fourteen billion, five hundred fifty-three million, two hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1061 1856 2122 3712 4244 7424 8488 14543 16976 29086 30769 33952 58172 61538 67904 116344 123076 135808 232688 246152 271616 421747 465376 492304 843494 930752 984608 1686988 1861504 1969216 3373976 3723008 3938432 6747952 7876864 13495904 15430123 26991808 30860246 53983616 61720492 107967232 123440984 246881968 447473567 493763936 894947134 987527872 1789894268 1975055744 3579788536 3950111488 7159577072 14319154144 28638308288 57276616576 114553233152