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5265078144 = 2731931999
BaseRepresentation
bin1001110011101001…
…01011011110000000
3111120221011200102020
410321310223132000
541240330000034
62230240521440
7244321266024
oct47164533600
914527150366
105265078144
112261aaa157
12102b320280
1365ba50371
1437d384384
1520c368249
hex139d2b780

5265078144 has 128 divisors (see below), whose sum is σ = 14769600000. Its totient is φ = 1661824512.

The previous prime is 5265078139. The next prime is 5265078193. The reversal of 5265078144 is 4418705625.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 5265078096 and 5265078105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2632857 + ... + 2634855.

It is an arithmetic number, because the mean of its divisors is an integer number (115387500).

Almost surely, 25265078144 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 5265078144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384800000).

5265078144 is an abundant number, since it is smaller than the sum of its proper divisors (9504521856).

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

5265078144 is an equidigital number, since it uses as much as digits as its factorization.

5265078144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 5265078144 is about 72560.8582088167. The cubic root of 5265078144 is about 1739.6756060605.

The spelling of 5265078144 in words is "five billion, two hundred sixty-five million, seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 361 384 456 608 722 912 1083 1216 1444 1824 1999 2166 2432 2888 3648 3998 4332 5776 5997 6859 7296 7996 8664 11552 11994 13718 15992 17328 20577 23104 23988 27436 31984 34656 37981 41154 46208 47976 54872 63968 69312 75962 82308 95952 109744 113943 127936 138624 151924 164616 191904 219488 227886 255872 303848 329232 383808 438976 455772 607696 658464 721639 767616 877952 911544 1215392 1316928 1443278 1823088 2164917 2430784 2633856 2886556 3646176 4329834 4861568 5773112 7292352 8659668 11546224 13711141 14584704 17319336 23092448 27422282 34638672 41133423 46184896 54844564 69277344 82266846 92369792 109689128 138554688 164533692 219378256 277109376 329067384 438756512 658134768 877513024 1316269536 1755026048 2632539072 5265078144