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10448157540 = 22353135315913
BaseRepresentation
bin10011011101100001…
…00011101101100100
3222222011001101200210
421232300203231210
5132344212020130
64444432135420
7516625605462
oct115660435544
928864041623
1010448157540
114481792447
122037097570
13ca67c0652
147118a1832
154123d55b0
hex26ec23b64

10448157540 has 96 divisors (see below), whose sum is σ = 30285997056. Its totient is φ = 2688491520.

The previous prime is 10448157527. The next prime is 10448157593. The reversal of 10448157540 is 4575184401.

10448157540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 648624 + ... + 664536.

It is an arithmetic number, because the mean of its divisors is an integer number (315479136).

Almost surely, 210448157540 is an apocalyptic number.

10448157540 is a gapful number since it is divisible by the number (10) 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 10448157540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15142998528).

10448157540 is an abundant number, since it is smaller than the sum of its proper divisors (19837839516).

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

10448157540 is a wasteful number, since it uses less digits than its factorization.

10448157540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16309 (or 16307 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The spelling of 10448157540 in words is "ten billion, four hundred forty-eight million, one hundred fifty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 353 372 465 620 706 930 1059 1412 1765 1860 2118 3530 4236 5295 7060 10590 10943 15913 21180 21886 31826 32829 43772 47739 54715 63652 65658 79565 95478 109430 131316 159130 164145 190956 218860 238695 318260 328290 477390 493303 656580 954780 986606 1479909 1973212 2466515 2959818 4933030 5617289 5919636 7399545 9866060 11234578 14799090 16851867 22469156 28086445 29598180 33703734 56172890 67407468 84259335 112345780 168518670 174135959 337037340 348271918 522407877 696543836 870679795 1044815754 1741359590 2089631508 2612039385 3482719180 5224078770 10448157540