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4265399072 = 2511219371567
BaseRepresentation
bin1111111000111100…
…1101001100100000
3102000021002201112102
43332033031030200
532213420232242
61543130145532
7210462202544
oct37617151440
912007081472
104265399072
111899785500
129b05822a8
1352c8c629c
142c66bba24
1519e6ebe32
hexfe3cd320

4265399072 has 144 divisors (see below), whose sum is σ = 9985086720. Its totient is φ = 1785991680.

The previous prime is 4265399071. The next prime is 4265399107. The reversal of 4265399072 is 2709935624.

It is a super-2 number, since 2×42653990722 = 36387258486836922368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4265399071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2721233 + ... + 2722799.

It is an arithmetic number, because the mean of its divisors is an integer number (69340880).

Almost surely, 24265399072 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 4265399072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992543360).

4265399072 is an abundant number, since it is smaller than the sum of its proper divisors (5719687648).

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

4265399072 is a wasteful number, since it uses less digits than its factorization.

4265399072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 47.

The square root of 4265399072 is about 65310.0227530201. The cubic root of 4265399072 is about 1621.7598961020.

The spelling of 4265399072 in words is "four billion, two hundred sixty-five million, three hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 4 8 11 16 19 22 32 37 38 44 74 76 88 121 148 152 176 209 242 296 304 352 407 418 484 592 608 703 814 836 968 1184 1406 1567 1628 1672 1936 2299 2812 3134 3256 3344 3872 4477 4598 5624 6268 6512 6688 7733 8954 9196 11248 12536 13024 15466 17237 17908 18392 22496 25072 29773 30932 34474 35816 36784 50144 57979 59546 61864 68948 71632 73568 85063 115958 119092 123728 137896 143264 170126 189607 231916 238184 247456 275792 327503 340252 379214 463832 476368 551584 637769 655006 680504 758428 927664 952736 1101601 1275538 1310012 1361008 1516856 1855328 2203202 2551076 2620024 2722016 3033712 3602533 4406404 5102152 5240048 6067424 7015459 7205066 8812808 10204304 10480096 12117611 14030918 14410132 17625616 20408608 24235222 28061836 28820264 35251232 48470444 56123672 57640528 96940888 112247344 115281056 133293721 193881776 224494688 266587442 387763552 533174884 1066349768 2132699536 4265399072