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4508117680 = 245119752813
BaseRepresentation
bin1000011001011010…
…00110101010110000
3102122011211002212111
410030231012222300
533213034231210
62023200335104
7216500240143
oct41455065260
912564732774
104508117680
111a037955a0
12a59914494
1356ac89671
1430aa2005a
151b5b9388a
hex10cb46ab0

4508117680 has 80 divisors (see below), whose sum is σ = 11552323104. Its totient is φ = 1622384640.

The previous prime is 4508117671. The next prime is 4508117683. The reversal of 4508117680 is 867118054.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4508117683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58954 + ... + 111766.

Almost surely, 24508117680 is an apocalyptic number.

4508117680 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 4508117680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5776161552).

4508117680 is an abundant number, since it is smaller than the sum of its proper divisors (7044205424).

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

4508117680 is a wasteful number, since it uses less digits than its factorization.

4508117680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52934 (or 52928 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 4508117680 is about 67142.5176769534. The cubic root of 4508117680 is about 1651.9557684261.

The spelling of 4508117680 in words is "four billion, five hundred eight million, one hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 97 110 176 194 220 388 440 485 776 880 970 1067 1552 1940 2134 3880 4268 5335 7760 8536 10670 17072 21340 42680 52813 85360 105626 211252 264065 422504 528130 580943 845008 1056260 1161886 2112520 2323772 2904715 4225040 4647544 5122861 5809430 9295088 10245722 11618860 20491444 23237720 25614305 40982888 46475440 51228610 56351471 81965776 102457220 112702942 204914440 225405884 281757355 409828880 450811768 563514710 901623536 1127029420 2254058840 4508117680