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130605863940 = 22335653370387
BaseRepresentation
bin111100110100010110…
…1110101010000000100
3110111010010222022201000
41321220231311100010
54114440100121230
6135555520533300
712302351345346
oct1715055652004
9414103868630
10130605863940
1150431672732
122138b781230
13c4155744c6
14646db3b296
1535e613db60
hex1e68b75404

130605863940 has 96 divisors (see below), whose sum is σ = 406952703360. Its totient is φ = 34774800768.

The previous prime is 130605863933. The next prime is 130605863959. The reversal of 130605863940 is 49368506031.

130605863940 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 0 + 5 + 8 + 639 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 167427 + ... + 537813.

It is an arithmetic number, because the mean of its divisors is an integer number (4239090660).

Almost surely, 2130605863940 is an apocalyptic number.

130605863940 is a gapful number since it is divisible by the number (10) 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 130605863940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203476351680).

130605863940 is an abundant number, since it is smaller than the sum of its proper divisors (276346839420).

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

130605863940 is a wasteful number, since it uses less digits than its factorization.

130605863940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371058 (or 371050 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 130605863940 in words is "one hundred thirty billion, six hundred five million, eight hundred sixty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 653 1306 1959 2612 3265 3918 5877 6530 7836 9795 11754 13060 17631 19590 23508 29385 35262 39180 58770 70524 88155 117540 176310 352620 370387 740774 1111161 1481548 1851935 2222322 3333483 3703870 4444644 5555805 6666966 7407740 10000449 11111610 13333932 16667415 20000898 22223220 33334830 40001796 50002245 66669660 100004490 200008980 241862711 483725422 725588133 967450844 1209313555 1451176266 2176764399 2418627110 2902352532 3627940665 4353528798 4837254220 6530293197 7255881330 8707057596 10883821995 13060586394 14511762660 21767643990 26121172788 32651465985 43535287980 65302931970 130605863940