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4266996960 = 253516753231
BaseRepresentation
bin1111111001010101…
…0011010011100000
3102000101002220102110
43332111103103200
532214322400320
61543224315320
7210511606242
oct37625232340
912011086373
104266996960
11189a676a76
129b1012b40
13530035695
142c69b6092
1519e9155e0
hexfe5534e0

4266996960 has 96 divisors (see below), whose sum is σ = 13521779712. Its totient is φ = 1131031040.

The previous prime is 4266996959. The next prime is 4266997003. The reversal of 4266996960 is 696996624.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4266996960.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 53545 + ... + 106775.

It is an arithmetic number, because the mean of its divisors is an integer number (140851872).

Almost surely, 24266996960 is an apocalyptic number.

4266996960 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 4266996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6760889856).

4266996960 is an abundant number, since it is smaller than the sum of its proper divisors (9254782752).

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

4266996960 is a wasteful number, since it uses less digits than its factorization.

4266996960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53416 (or 53408 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 57.

The square root of 4266996960 is about 65322.2547069527. The cubic root of 4266996960 is about 1621.9623833807.

The spelling of 4266996960 in words is "four billion, two hundred sixty-six million, nine hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 167 240 334 480 501 668 835 1002 1336 1670 2004 2505 2672 3340 4008 5010 5344 6680 8016 10020 13360 16032 20040 26720 40080 53231 80160 106462 159693 212924 266155 319386 425848 532310 638772 798465 851696 1064620 1277544 1596930 1703392 2129240 2555088 3193860 4258480 5110176 6387720 8516960 8889577 12775440 17779154 25550880 26668731 35558308 44447885 53337462 71116616 88895770 106674924 133343655 142233232 177791540 213349848 266687310 284466464 355583080 426699696 533374620 711166160 853399392 1066749240 1422332320 2133498480 4266996960