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130505537680 = 2457233292229
BaseRepresentation
bin111100110001010111…
…1000111100010010000
3110110212011012012221121
41321202233013202100
54114233404201210
6135541534332024
712300022524100
oct1714257074220
9413764165847
10130505537680
115038aa79071
122136205a014
13c3ca84835b
1464606a3200
1535dc4226da
hex1e62bc7890

130505537680 has 60 divisors (see below), whose sum is σ = 352964222460. Its totient is φ = 44744754432.

The previous prime is 130505537651. The next prime is 130505537713. The reversal of 130505537680 is 86735505031.

It can be written as a sum of positive squares in 2 ways, for example, as 58687969536 + 71817568144 = 242256^2 + 267988^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16642195 + ... + 16650034.

It is an arithmetic number, because the mean of its divisors is an integer number (5882737041).

Almost surely, 2130505537680 is an apocalyptic number.

130505537680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130505537680 is an abundant number, since it is smaller than the sum of its proper divisors (222458684780).

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

130505537680 is a wasteful number, since it uses less digits than its factorization.

130505537680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33292256 (or 33292243 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 43.

The spelling of 130505537680 in words is "one hundred thirty billion, five hundred five million, five hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 33292229 66584458 133168916 166461145 233045603 266337832 332922290 466091206 532675664 665844580 932182412 1165228015 1331689160 1631319221 1864364824 2330456030 2663378320 3262638442 3728729648 4660912060 6525276884 8156596105 9321824120 13050553768 16313192210 18643648240 26101107536 32626384420 65252768840 130505537680