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4243018880 = 27553671867
BaseRepresentation
bin1111110011100111…
…0101010010000000
3101221200222200200102
43330321311102000
532142203101010
61541010341532
7210101031302
oct37471652200
911850880612
104243018880
111888089981
129a4b8a8a8
1352808b679
142c3733972
1519c77aba5
hexfce75480

4243018880 has 128 divisors (see below), whose sum is σ = 10494722880. Its totient is φ = 1639452672.

The previous prime is 4243018861. The next prime is 4243018951. The reversal of 4243018880 is 888103424.

4243018880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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, 2271707 + ... + 2273573.

Almost surely, 24243018880 is an apocalyptic number.

4243018880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4243018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5247361440).

4243018880 is an abundant number, since it is smaller than the sum of its proper divisors (6251704000).

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

4243018880 is a wasteful number, since it uses less digits than its factorization.

4243018880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 4243018880 is about 65138.4593001707. The cubic root of 4243018880 is about 1618.9185079621.

The spelling of 4243018880 in words is "four billion, two hundred forty-three million, eighteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 67 80 106 128 134 160 212 265 268 320 335 424 530 536 640 670 848 1060 1072 1340 1696 1867 2120 2144 2680 3392 3551 3734 4240 4288 5360 6784 7102 7468 8480 8576 9335 10720 14204 14936 16960 17755 18670 21440 28408 29872 33920 35510 37340 42880 56816 59744 71020 74680 98951 113632 119488 125089 142040 149360 197902 227264 238976 250178 284080 298720 395804 454528 494755 500356 568160 597440 625445 791608 989510 1000712 1136320 1194880 1250890 1583216 1979020 2001424 2272640 2501780 3166432 3958040 4002848 5003560 6332864 6629717 7916080 8005696 10007120 12665728 13259434 15832160 16011392 20014240 26518868 31664320 33148585 40028480 53037736 63328640 66297170 80056960 106075472 132594340 212150944 265188680 424301888 530377360 848603776 1060754720 2121509440 4243018880