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248260011328 = 2672324093557
BaseRepresentation
bin1110011100110101110…
…0110010010101000000
3212201210200000021101101
43213031130302111000
513031414030330303
6310014333344144
723636054164330
oct3471534622500
9781720007341
10248260011328
1196317338a8a
1240145938054
131a545750cb4
14c0316bb0c0
1566d01b6d1d
hex39cd732540

248260011328 has 56 divisors (see below), whose sum is σ = 587497318272. Its totient is φ = 101771180544.

The previous prime is 248260011323. The next prime is 248260011371. The reversal of 248260011328 is 823110062842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248260011323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12036475 + ... + 12057082.

Almost surely, 2248260011328 is an apocalyptic number.

248260011328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

248260011328 is an abundant number, since it is smaller than the sum of its proper divisors (339237306944).

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

248260011328 is a wasteful number, since it uses less digits than its factorization.

248260011328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24093599 (or 24093589 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 248260011328 in words is "two hundred forty-eight billion, two hundred sixty million, eleven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 5152 10304 24093557 48187114 96374228 168654899 192748456 337309798 385496912 554151811 674619596 770993824 1108303622 1349239192 1541987648 2216607244 2698478384 3879062677 4433214488 5396956768 7758125354 8866428976 10793913536 15516250708 17732857952 31032501416 35465715904 62065002832 124130005664 248260011328