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130849873968 = 243111944329443
BaseRepresentation
bin111100111011101000…
…0101010000000110000
3110111202011010022112110
41321313100222000300
54120440031431333
6140040034525320
712311403402012
oct1716720520060
9414664108473
10130849873968
1150547385010
1221439436840
13c453c9a638
1464942d81b2
15360c78d063
hex1e7742a030

130849873968 has 160 divisors (see below), whose sum is σ = 389056527360. Its totient is φ = 37478488320.

The previous prime is 130849873943. The next prime is 130849873993. The reversal of 130849873968 is 869378948031.

It is an interprime number because it is at equal distance from previous prime (130849873943) and next prime (130849873993).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 130849873899 and 130849873908.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4429455 + ... + 4458897.

It is an arithmetic number, because the mean of its divisors is an integer number (2431603296).

Almost surely, 2130849873968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130849873968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194528263680).

130849873968 is an abundant number, since it is smaller than the sum of its proper divisors (258206653392).

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

130849873968 is a wasteful number, since it uses less digits than its factorization.

130849873968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29927 (or 29921 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 130849873968 in words is "one hundred thirty billion, eight hundred forty-nine million, eight hundred seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 443 456 528 627 836 886 912 1254 1329 1672 1772 2508 2658 3344 3544 4873 5016 5316 7088 8417 9746 10032 10632 14619 16834 19492 21264 25251 29238 29443 33668 38984 50502 58476 58886 67336 77968 88329 92587 101004 116952 117772 134672 176658 185174 202008 233904 235544 277761 323873 353316 370348 404016 471088 555522 559417 647746 706632 740696 971619 1111044 1118834 1295492 1413264 1481392 1678251 1943238 2222088 2237668 2590984 3356502 3886476 4444176 4475336 5181968 6153587 6713004 7772952 8950672 12307174 13043249 13426008 15545904 18460761 24614348 26086498 26852016 36921522 39129747 49228696 52172996 73843044 78259494 98457392 104345992 143475739 147686088 156518988 208691984 247821731 286951478 295372176 313037976 430427217 495643462 573902956 626075952 743465193 860854434 991286924 1147805912 1486930386 1721708868 1982573848 2295611824 2726039041 2973860772 3443417736 3965147696 5452078082 5947721544 6886835472 8178117123 10904156164 11895443088 16356234246 21808312328 32712468492 43616624656 65424936984 130849873968