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248696703025 = 5217258672
BaseRepresentation
bin1110011110011101111…
…0101000100000110001
3212202221002201111202221
43213213132220200301
513033312323444100
6310125533241041
723652636045061
oct3474736504061
9782832644687
10248696703025
1196520894a11
1240248033181
131a5b506b354
14c0736b33a1
1567086c701a
hex39e77a8831

248696703025 has 27 divisors (see below), whose sum is σ = 327647059969. Its totient is φ = 187222071680.

The previous prime is 248696703001. The next prime is 248696703053. The reversal of 248696703025 is 520307696842.

The square root of 248696703025 is 498695.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5817265441 + 242879437584 = 76271^2 + 492828^2 .

It is not a de Polignac number, because 248696703025 - 25 = 248696702993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42386142 + ... + 42392008.

Almost surely, 2248696703025 is an apocalyptic number.

248696703025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

248696703025 is the 498695-th square number.

248696703025 is the 249348-th centered octagonal number.

It is an amenable number.

248696703025 is a deficient number, since it is larger than the sum of its proper divisors (78950356944).

248696703025 is an frugal number, since it uses more digits than its factorization.

248696703025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11778 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 248696703025 in words is "two hundred forty-eight billion, six hundred ninety-six million, seven hundred three thousand, twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 5867 7225 29335 99739 146675 498695 1695563 2493475 8477815 34421689 42389075 172108445 585168713 860542225 2925843565 9947868121 14629217825 49739340605 248696703025