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248961346196 = 22416735963113
BaseRepresentation
bin1110011111011101000…
…0001010101010010100
3212210121112200202221212
43213313100022222110
513034333101034241
6310212105400552
723662331345363
oct3476720125224
9783545622855
10248961346196
119664720a282
1240300799158
131a627b39b44
14c09a8c17da
156721a4ebeb
hex39f740aa94

248961346196 has 48 divisors (see below), whose sum is σ = 454239031680. Its totient is φ = 119296826880.

The previous prime is 248961346189. The next prime is 248961346199. The reversal of 248961346196 is 691643169842.

248961346196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248961346199) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3913136 + ... + 3976248.

It is an arithmetic number, because the mean of its divisors is an integer number (9463313160).

Almost surely, 2248961346196 is an apocalyptic number.

It is an amenable number.

248961346196 is a deficient number, since it is larger than the sum of its proper divisors (205277685484).

248961346196 is a wasteful number, since it uses less digits than its factorization.

248961346196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63584 (or 63582 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 59.

The spelling of 248961346196 in words is "two hundred forty-eight billion, nine hundred sixty-one million, three hundred forty-six thousand, one hundred ninety-six".

Divisors: 1 2 4 41 67 82 134 164 268 359 718 1436 2747 5494 10988 14719 24053 29438 48106 58876 63113 96212 126226 252452 986173 1972346 2587633 3944692 4228571 5175266 8457142 10350532 16914284 22657567 45315134 90630268 173371411 346742822 693485644 928960247 1518056989 1857920494 3036113978 3715840988 6072227956 62240336549 124480673098 248961346196