Search a number
-
+
67315251120 = 24351321575401
BaseRepresentation
bin111110101100010011…
…010011011110110000
320102202022112001202220
4332230103103132300
52100330201013440
650531343241040
74602064123305
oct765423233660
9212668461686
1067315251120
1126603782547
12110678a9180
13646a170950
1433882330ac
151b3ea8e8d0
hexfac4d37b0

67315251120 has 80 divisors (see below), whose sum is σ = 224729387232. Its totient is φ = 16569907200.

The previous prime is 67315251089. The next prime is 67315251137. The reversal of 67315251120 is 2115251376.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×673152511202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10784581 + ... + 10790820.

Almost surely, 267315251120 is an apocalyptic number.

67315251120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67315251120 is an abundant number, since it is smaller than the sum of its proper divisors (157414136112).

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

67315251120 is a wasteful number, since it uses less digits than its factorization.

67315251120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21575430 (or 21575424 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 67315251120 in words is "sixty-seven billion, three hundred fifteen million, two hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 21575401 43150802 64726203 86301604 107877005 129452406 172603208 215754010 258904812 280480213 323631015 345206416 431508020 517809624 560960426 647262030 841440639 863016040 1035619248 1121920852 1294524060 1402401065 1682881278 1726032080 2243841704 2589048120 2804802130 3365762556 4207203195 4487683408 5178096240 5609604260 6731525112 8414406390 11219208520 13463050224 16828812780 22438417040 33657625560 67315251120