Search a number
-
+
124628733520 = 2454382344021
BaseRepresentation
bin111010000010001110…
…0111000111001010000
3102220200120221122012021
41310010130320321100
54020214423433040
6133130442141224
712001262520214
oct1640434707120
9386616848167
10124628733520
1148944742125
12201a1ab1814
13b9a2155045
146063da2944
15339652224a
hex1d04738e50

124628733520 has 80 divisors (see below), whose sum is σ = 296867463552. Its totient is φ = 48631887360.

The previous prime is 124628733511. The next prime is 124628733527. The reversal of 124628733520 is 25337826421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124628733527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2809110 + ... + 2853130.

Almost surely, 2124628733520 is an apocalyptic number.

124628733520 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 124628733520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148433731776).

124628733520 is an abundant number, since it is smaller than the sum of its proper divisors (172238730032).

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

124628733520 is a wasteful number, since it uses less digits than its factorization.

124628733520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44900 (or 44894 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 124628733520 in words is "one hundred twenty-four billion, six hundred twenty-eight million, seven hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 823 860 1646 1720 3292 3440 4115 6584 8230 13168 16460 32920 35389 44021 65840 70778 88042 141556 176084 176945 220105 283112 352168 353890 440210 566224 704336 707780 880420 1415560 1760840 1892903 2831120 3521680 3785806 7571612 9464515 15143224 18929030 30286448 36229283 37858060 72458566 75716120 144917132 151432240 181146415 289834264 362292830 579668528 724585660 1449171320 1557859169 2898342640 3115718338 6231436676 7789295845 12462873352 15578591690 24925746704 31157183380 62314366760 124628733520