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4019953872 = 2431128326903
BaseRepresentation
bin1110111110011011…
…1010000011010000
3101101011020211000110
43233212322003100
531213102010442
61502521321320
7201422021064
oct35746720320
911334224013
104019953872
111783182930
12942336240
134c0ab9b3c
142a1c69aa4
15187db769c
hexef9ba0d0

4019953872 has 80 divisors (see below), whose sum is σ = 11369415168. Its totient is φ = 1213818240.

The previous prime is 4019953867. The next prime is 4019953879. The reversal of 4019953872 is 2783599104.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4019953879) 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 15 ways as a sum of consecutive naturals, for example, 135973 + ... + 162875.

Almost surely, 24019953872 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 4019953872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5684707584).

4019953872 is an abundant number, since it is smaller than the sum of its proper divisors (7349461296).

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

4019953872 is a wasteful number, since it uses less digits than its factorization.

4019953872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27208 (or 27202 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 4019953872 is about 63403.1061699662. The cubic root of 4019953872 is about 1590.0362414112.

The spelling of 4019953872 in words is "four billion, nineteen million, nine hundred fifty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 283 528 566 849 1132 1698 2264 3113 3396 4528 6226 6792 9339 12452 13584 18678 24904 26903 37356 49808 53806 74712 80709 107612 149424 161418 215224 295933 322836 430448 591866 645672 887799 1183732 1291344 1775598 2367464 3551196 4734928 7102392 7613549 14204784 15227098 22840647 30454196 45681294 60908392 83749039 91362588 121816784 167498078 182725176 251247117 334996156 365450352 502494234 669992312 1004988468 1339984624 2009976936 4019953872