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130268375028 = 2232112914837649
BaseRepresentation
bin111100101010010011…
…0011010011111110100
3110110020121221002221200
41321110212122133310
54113242201000103
6135502223212500
712261112626561
oct1712446323764
9413217832850
10130268375028
1150279113280
12212b6747130
13c39067bb1c
14643ada9868
1535c66c70a3
hex1e5499a7f4

130268375028 has 144 divisors (see below), whose sum is σ = 371911176000. Its totient is φ = 38083368960.

The previous prime is 130268375009. The next prime is 130268375033. The reversal of 130268375028 is 820573862031.

130268375028 is a `hidden beast` number, since 13 + 0 + 268 + 375 + 0 + 2 + 8 = 666.

130268375028 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17026948 + ... + 17034596.

It is an arithmetic number, because the mean of its divisors is an integer number (2582716500).

Almost surely, 2130268375028 is an apocalyptic number.

130268375028 is a gapful number since it is divisible by the number (18) 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 130268375028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185955588000).

130268375028 is an abundant number, since it is smaller than the sum of its proper divisors (241642800972).

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

130268375028 is a wasteful number, since it uses less digits than its factorization.

130268375028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9182 (or 9177 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 130268375028 in words is "one hundred thirty billion, two hundred sixty-eight million, three hundred seventy-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1483 1914 2871 2966 3828 4449 5742 5932 7649 8898 11484 13347 15298 16313 17796 22947 26694 30596 32626 43007 45894 48939 53388 65252 68841 84139 86014 91788 97878 129021 137682 146817 168278 172028 195756 221821 252417 258042 275364 293634 336556 387063 443642 473077 504834 516084 587268 665463 757251 774126 887284 946154 1009668 1330926 1419231 1514502 1548252 1892308 1996389 2440031 2661852 2838462 3029004 3992778 4257693 4880062 5676924 7320093 7985556 8515386 9760124 11343467 14640186 17030772 21960279 22686934 29280372 34030401 43920558 45373868 68060802 87841116 102091203 124778137 136121604 204182406 249556274 328960543 374334411 408364812 499112548 657921086 748668822 986881629 1123003233 1315842172 1497337644 1973763258 2246006466 2960644887 3618565973 3947526516 4492012932 5921289774 7237131946 10855697919 11842579548 14474263892 21711395838 32567093757 43422791676 65134187514 130268375028