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52522002144 = 25321274393271
BaseRepresentation
bin110000111010100011…
…100010011011100000
312000120100102011011200
4300322203202123200
51330031113032034
640043412441200
73536354436453
oct607243423340
9160510364150
1052522002144
1120302334647
12a219619200
134c504039a1
14278366b49a
151575eb9a99
hexc3a8e26e0

52522002144 has 144 divisors (see below), whose sum is σ = 150924533760. Its totient is φ = 17324616960.

The previous prime is 52522002133. The next prime is 52522002149. The reversal of 52522002144 is 44120022525.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52522002149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16055229 + ... + 16058499.

It is an arithmetic number, because the mean of its divisors is an integer number (1048087040).

Almost surely, 252522002144 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 52522002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75462266880).

52522002144 is an abundant number, since it is smaller than the sum of its proper divisors (98402531616).

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

52522002144 is a wasteful number, since it uses less digits than its factorization.

52522002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 52522002144 its reverse (44120022525), we get a palindrome (96642024669).

The spelling of 52522002144 in words is "fifty-two billion, five hundred twenty-two million, two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 439 508 762 878 1016 1143 1317 1524 1756 2032 2286 2634 3048 3271 3512 3951 4064 4572 5268 6096 6542 7024 7902 9144 9813 10536 12192 13084 14048 15804 18288 19626 21072 26168 29439 31608 36576 39252 42144 52336 55753 58878 63216 78504 104672 111506 117756 126432 157008 167259 223012 235512 314016 334518 415417 446024 471024 501777 669036 830834 892048 942048 1003554 1246251 1338072 1435969 1661668 1784096 2007108 2492502 2676144 2871938 3323336 3738753 4014216 4307907 4985004 5352288 5743876 6646672 7477506 8028432 8615814 9970008 11487752 12923721 13293344 14955012 16056864 17231628 19940016 22975504 25847442 29910024 34463256 39880032 45951008 51694884 59820048 68926512 103389768 119640096 137853024 182368063 206779536 364736126 413559072 547104189 729472252 1094208378 1458944504 1641312567 2188416756 2917889008 3282625134 4376833512 5835778016 6565250268 8753667024 13130500536 17507334048 26261001072 52522002144