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4496537864 = 23713433792
BaseRepresentation
bin1000011000000001…
…11011100100001000
3102121101000210100102
410030000323210020
533202103202424
62022104224532
7216266640560
oct41400734410
912541023312
104496537864
1119a81a64a5
12a55a6b148
135687639c0
14309287da0
151b4b577ae
hex10c03b908

4496537864 has 96 divisors (see below), whose sum is σ = 10646032320. Its totient is φ = 1732897152.

The previous prime is 4496537809. The next prime is 4496537897. The reversal of 4496537864 is 4687356944.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11864027 + ... + 11864405.

It is an arithmetic number, because the mean of its divisors is an integer number (110896170).

Almost surely, 24496537864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4496537864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323016160).

4496537864 is an abundant number, since it is smaller than the sum of its proper divisors (6149494456).

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

4496537864 is a wasteful number, since it uses less digits than its factorization.

4496537864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 444 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 56.

The square root of 4496537864 is about 67056.2291215365. The cubic root of 4496537864 is about 1650.5401187374.

The spelling of 4496537864 in words is "four billion, four hundred ninety-six million, five hundred thirty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 43 52 56 86 91 104 172 182 301 344 364 379 559 602 728 758 1118 1204 1516 2236 2408 2653 3032 3913 4472 4927 5306 7826 9854 10612 15652 16297 19708 21224 31304 32594 34489 39416 65188 68978 114079 130376 137956 143641 211861 228158 275912 287282 423722 456316 574564 847444 912632 1005487 1149128 1483027 1694888 1867333 2010974 2966054 3734666 4021948 5932108 6176563 7469332 8043896 11864216 12353126 13071331 14938664 24706252 26142662 43235941 49412504 52285324 80295319 86471882 104570648 160590638 172943764 321181276 345887528 562067233 642362552 1124134466 2248268932 4496537864