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25145630272 = 267217346349
BaseRepresentation
bin10111011010110010…
…111101111001000000
32101220102221100222201
4113122302331321000
5402444240132042
615315102042544
71550063221300
oct273262757100
971812840881
1025145630272
11a734064224
124a59279454
1324a9765489
141307855600
159c288c1b7
hex5dacbde40

25145630272 has 84 divisors (see below), whose sum is σ = 58381811100. Its totient is φ = 10714174464.

The previous prime is 25145630269. The next prime is 25145630309. The reversal of 25145630272 is 27203654152.

It can be written as a sum of positive squares in 2 ways, for example, as 14307987456 + 10837642816 = 119616^2 + 104104^2 .

It is a super-2 number, since 2×251456302722 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519354 + ... + 565702.

Almost surely, 225145630272 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 25145630272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29190905550).

25145630272 is an abundant number, since it is smaller than the sum of its proper divisors (33236180828).

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

25145630272 is a wasteful number, since it uses less digits than its factorization.

25145630272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46548 (or 46531 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 25145630272 in words is "twenty-five billion, one hundred forty-five million, six hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 173 196 224 346 392 448 692 784 1211 1384 1568 2422 2768 3136 4844 5536 8477 9688 11072 16954 19376 33908 38752 46349 67816 77504 92698 135632 185396 271264 324443 370792 542528 648886 741584 1297772 1483168 2271101 2595544 2966336 4542202 5191088 8018377 9084404 10382176 16036754 18168808 20764352 32073508 36337616 56128639 64147016 72675232 112257278 128294032 145350464 224514556 256588064 392900473 449029112 513176128 785800946 898058224 1571601892 1796116448 3143203784 3592232896 6286407568 12572815136 25145630272