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4968550272 = 27379112029
BaseRepresentation
bin1001010000010011…
…00000111110000000
3110211021012111122110
410220021200332000
540133422102042
62141005135320
7234060660210
oct45011407600
913737174573
104968550272
11211a6873a4
12b67b5a540
13612499a9a
14351c36240
151e12e309c
hex128260f80

4968550272 has 128 divisors (see below), whose sum is σ = 15107097600. Its totient is φ = 1417328640.

The previous prime is 4968550259. The next prime is 4968550297. The reversal of 4968550272 is 2720558694.

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

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2447754 + ... + 2449782.

It is an arithmetic number, because the mean of its divisors is an integer number (118024200).

Almost surely, 24968550272 is an apocalyptic number.

4968550272 is a gapful number since it is divisible by the number (42) 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 4968550272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7553548800).

4968550272 is an abundant number, since it is smaller than the sum of its proper divisors (10138547328).

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

4968550272 is a wasteful number, since it uses less digits than its factorization.

4968550272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 4968550272 is about 70487.9441606861. The cubic root of 4968550272 is about 1706.3831847949.

The spelling of 4968550272 in words is "four billion, nine hundred sixty-eight million, five hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 911 1344 1822 2029 2688 2733 3644 4058 5466 6087 6377 7288 8116 10932 12174 12754 14203 14576 16232 19131 21864 24348 25508 28406 29152 32464 38262 42609 43728 48696 51016 56812 58304 64928 76524 85218 87456 97392 102032 113624 116608 129856 153048 170436 174912 194784 204064 227248 259712 306096 340872 349824 389568 408128 454496 612192 681744 779136 816256 908992 1224384 1363488 1817984 1848419 2448768 2726976 3696838 5453952 5545257 7393676 11090514 12938933 14787352 22181028 25877866 29574704 38816799 44362056 51755732 59149408 77633598 88724112 103511464 118298816 155267196 177448224 207022928 236597632 310534392 354896448 414045856 621068784 709792896 828091712 1242137568 1656183424 2484275136 4968550272