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25078301214976 = 283129892
BaseRepresentation
bin1011011001110111111110…
…01111000100100100000000
310021210110110221010111010001
411230323333033010210000
511241340330102334401
6125200451301245344
75165563453103452
oct554737717044400
9107713427114101
1025078301214976
117a99714278309
122990414403854
1310cbb4856a569
14629b20cd22d2
152d7526862601
hex16ceff3c4900

25078301214976 has 27 divisors (see below), whose sum is σ = 50058800253721. Its totient is φ = 12539110544896.

The previous prime is 25078301214971. The next prime is 25078301215001. The reversal of 25078301214976 is 67941210387052.

The square root of 25078301214976 is 5007824.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16671084984576 + 8407216230400 = 4083024^2 + 2899520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25078301214971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 79968690 + ... + 80281678.

It is a 1-persistent number, because it is pandigital, but 2⋅25078301214976 = 50156602429952 is not.

Almost surely, 225078301214976 is an apocalyptic number.

25078301214976 is the 5007824-th square number.

It is an amenable number.

25078301214976 is a deficient number, since it is larger than the sum of its proper divisors (24980499038745).

25078301214976 is an frugal number, since it uses more digits than its factorization.

25078301214976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625994 (or 312991 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 25078301214976 in words is "twenty-five trillion, seventy-eight billion, three hundred one million, two hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 312989 625978 1251956 2503912 5007824 10015648 20031296 40062592 80125184 97962114121 195924228242 391848456484 783696912968 1567393825936 3134787651872 6269575303744 12539150607488 25078301214976