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130772454228 = 22321311312719471
BaseRepresentation
bin111100111001010100…
…1010100101101010100
3110111112202102222121200
41321302221110231110
54120310222013403
6140024231312500
712306443343333
oct1716251245524
9414482388550
10130772454228
1150507706459
122141751b730
13c440c31840
146487d03d1a
153605a98ca3
hex1e72a54b54

130772454228 has 144 divisors (see below), whose sum is σ = 361988530176. Its totient is φ = 39565532160.

The previous prime is 130772454209. The next prime is 130772454229. The reversal of 130772454228 is 822454277031.

130772454228 is a `hidden beast` number, since 1 + 30 + 7 + 72 + 4 + 542 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130772454229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6706533 + ... + 6726003.

Almost surely, 2130772454228 is an apocalyptic number.

130772454228 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 130772454228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180994265088).

130772454228 is an abundant number, since it is smaller than the sum of its proper divisors (231216075948).

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

130772454228 is a wasteful number, since it uses less digits than its factorization.

130772454228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19734 (or 19729 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 130772454228 in words is "one hundred thirty billion, seven hundred seventy-two million, four hundred fifty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 113 117 127 156 226 234 254 339 381 452 468 508 678 762 1017 1143 1356 1469 1524 1651 2034 2286 2938 3302 4068 4407 4572 4953 5876 6604 8814 9906 13221 14351 14859 17628 19471 19812 26442 28702 29718 38942 43053 52884 57404 58413 59436 77884 86106 116826 129159 172212 175239 186563 233652 253123 258318 350478 373126 506246 516636 559689 700956 746252 759369 1012492 1119378 1518738 1679067 2200223 2238756 2278107 2472817 3037476 3358134 4400446 4556214 4945634 6600669 6716268 7418451 8800892 9112428 9891268 13201338 14836902 19802007 22255353 26402676 28602899 29673804 32146621 39604014 44510706 57205798 64293242 79208028 85808697 89021412 96439863 114411596 128586484 171617394 192879726 257426091 279428321 289319589 343234788 385759452 514852182 558856642 578639178 838284963 1029704364 1117713284 1157278356 1676569926 2514854889 3353139852 3632568173 5029709778 7265136346 10059419556 10897704519 14530272692 21795409038 32693113557 43590818076 65386227114 130772454228