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130828773624 = 233137181367599
BaseRepresentation
bin111100111011000000…
…0001010100011111000
3110111200200102022022020
41321312000022203320
54120414131223444
6140034002354440
712311026140663
oct1716600124370
9414620368266
10130828773624
115053648300a
122143235ba20
13c44c7c0423
1464915a46da
15360a9c1119
hex1e7600a8f8

130828773624 has 128 divisors (see below), whose sum is σ = 332736768000. Its totient is φ = 42863109120.

The previous prime is 130828773611. The next prime is 130828773641. The reversal of 130828773624 is 426377828031.

It is a congruent number.

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, 218411677 + ... + 218412275.

It is an arithmetic number, because the mean of its divisors is an integer number (2599506000).

Almost surely, 2130828773624 is an apocalyptic number.

It is an amenable number.

130828773624 is an abundant number, since it is smaller than the sum of its proper divisors (201907994376).

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

130828773624 is a wasteful number, since it uses less digits than its factorization.

130828773624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 130828773624 in words is "one hundred thirty billion, eight hundred twenty-eight million, seven hundred seventy-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 137 181 274 362 367 411 543 548 599 724 734 822 1086 1096 1101 1198 1448 1468 1644 1797 2172 2202 2396 2936 3288 3594 4344 4404 4792 7188 8808 14376 24797 49594 50279 66427 74391 82063 99188 100558 108419 132854 148782 150837 164126 198376 199281 201116 216838 219833 246189 265708 297564 301674 325257 328252 398562 402232 433676 439666 492378 531416 595128 603348 650514 656504 659499 797124 867352 879332 984756 1206696 1301028 1318998 1594248 1758664 1969512 2602056 2637996 5275992 9100499 14853403 18200998 27301497 29706806 30117121 36401996 39789773 44560209 54602994 59413612 60234242 72803992 79579546 89120418 90351363 109205988 118827224 119369319 120468484 159159092 178240836 180702726 218411976 238738638 240936968 318318184 356481672 361405452 477477276 722810904 954954552 5451198901 10902397802 16353596703 21804795604 32707193406 43609591208 65414386812 130828773624