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248393590080 = 26351272037349
BaseRepresentation
bin1110011101010101101…
…0010110010101000000
3212202010222100202222120
43213111122112111000
513032202224340310
6310035504404240
723642265451626
oct3472532262500
9782128322876
10248393590080
1196385784749
1240182616680
131a56732068c
14c04532d516
1566dbca0b70
hex39d5696540

248393590080 has 112 divisors (see below), whose sum is σ = 794859878400. Its totient is φ = 65716697088.

The previous prime is 248393590079. The next prime is 248393590097. The reversal of 248393590080 is 80095393842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896755 + ... + 1140594.

It is an arithmetic number, because the mean of its divisors is an integer number (7096963200).

Almost surely, 2248393590080 is an apocalyptic number.

248393590080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248393590080 is an abundant number, since it is smaller than the sum of its proper divisors (546466288320).

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

248393590080 is a wasteful number, since it uses less digits than its factorization.

248393590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037496 (or 2037486 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 248393590080 in words is "two hundred forty-eight billion, three hundred ninety-three million, five hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 160 192 240 254 320 381 480 508 635 762 960 1016 1270 1524 1905 2032 2540 3048 3810 4064 5080 6096 7620 8128 10160 12192 15240 20320 24384 30480 40640 60960 121920 2037349 4074698 6112047 8149396 10186745 12224094 16298792 20373490 24448188 30560235 32597584 40746980 48896376 61120470 65195168 81493960 97792752 122240940 130390336 162987920 195585504 244481880 258743323 325975840 391171008 488963760 517486646 651951680 776229969 977927520 1034973292 1293716615 1552459938 1955855040 2069946584 2587433230 3104919876 3881149845 4139893168 5174866460 6209839752 7762299690 8279786336 10349732920 12419679504 15524599380 16559572672 20699465840 24839359008 31049198760 41398931680 49678718016 62098397520 82797863360 124196795040 248393590080