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2525475148352 = 261371263162557
BaseRepresentation
bin100100110000000010000…
…011001001001001000000
322221102200201001012000122
4210300002003021021000
5312334133114221402
65212104241035412
7350313425366102
oct44600203111100
98842621035018
102525475148352
118940589782a2
12349554625b68
131541c74abc10
148a33b1c3572
1545a6038cca2
hex24c020c9240

2525475148352 has 112 divisors (see below), whose sum is σ = 5493846580992. Its totient is φ = 1144810383360.

The previous prime is 2525475148349. The next prime is 2525475148363. The reversal of 2525475148352 is 2538415745252.

It is a junction number, because it is equal to n+sod(n) for n = 2525475148294 and 2525475148303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15454658 + ... + 15617214.

It is an arithmetic number, because the mean of its divisors is an integer number (49052201616).

Almost surely, 22525475148352 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 2525475148352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746923290496).

2525475148352 is an abundant number, since it is smaller than the sum of its proper divisors (2968371432640).

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

2525475148352 is a wasteful number, since it uses less digits than its factorization.

2525475148352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162916 (or 162906 counting only the distinct ones).

The product of its digits is 13440000, while the sum is 53.

The spelling of 2525475148352 in words is "two trillion, five hundred twenty-five billion, four hundred seventy-five million, one hundred forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 142 208 263 284 416 526 568 832 923 1052 1136 1846 2104 2272 3419 3692 4208 4544 6838 7384 8416 13676 14768 16832 18673 27352 29536 37346 54704 59072 74692 109408 149384 162557 218816 242749 298768 325114 485498 597536 650228 970996 1195072 1300456 1941992 2113241 2600912 3883984 4226482 5201824 7767968 8452964 10403648 11541547 15535936 16905928 23083094 33811856 42752491 46166188 67623712 85504982 92332376 135247424 150040111 171009964 184664752 300080222 342019928 369329504 555782383 600160444 684039856 738659008 1111564766 1200320888 1368079712 2223129532 2400641776 2736159424 3035426861 4446259064 4801283552 6070853722 8892518128 9602567104 12141707444 17785036256 24283414888 35570072512 39460549193 48566829776 78921098386 97133659552 157842196772 194267319104 315684393544 631368787088 1262737574176 2525475148352