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248961326940 = 223251383118483
BaseRepresentation
bin1110011111011101000…
…0000101111101011100
3212210121112122210112200
43213313100011331130
513034333044430230
6310212105131500
723662331235264
oct3476720057534
9783545583480
10248961326940
11966471a6867
1240300789b90
131a627b31151
14c09a8b87a4
156721a49160
hex39f7405f5c

248961326940 has 36 divisors (see below), whose sum is σ = 755182692264. Its totient is φ = 66389687136.

The previous prime is 248961326903. The next prime is 248961326953. The reversal of 248961326940 is 49623169842.

248961326940 is a `hidden beast` number, since 2 + 489 + 61 + 3 + 2 + 69 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 691559062 + ... + 691559421.

Almost surely, 2248961326940 is an apocalyptic number.

248961326940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248961326940 is an abundant number, since it is smaller than the sum of its proper divisors (506221365324).

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

248961326940 is a wasteful number, since it uses less digits than its factorization.

248961326940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383118498 (or 1383118493 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 248961326940 in words is "two hundred forty-eight billion, nine hundred sixty-one million, three hundred twenty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1383118483 2766236966 4149355449 5532473932 6915592415 8298710898 12448066347 13831184830 16597421796 20746777245 24896132694 27662369660 41493554490 49792265388 62240331735 82987108980 124480663470 248961326940