Search a number
-
+
67148355100 = 225223892231471
BaseRepresentation
bin111110100010010110…
…101001011000011100
320102022200110212110211
4332202112221120130
52100004434330400
650503022142204
74564666413061
oct764226513034
9212280425424
1067148355100
1126528550052
121101ba21964
1364417073c8
14336ddcac68
151b300c3dba
hexfa25a961c

67148355100 has 144 divisors (see below), whose sum is σ = 154550108160. Its totient is φ = 25271769600.

The previous prime is 67148355091. The next prime is 67148355187. The reversal of 67148355100 is 155384176.

It is a happy number.

67148355100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45647365 + ... + 45648835.

It is an arithmetic number, because the mean of its divisors is an integer number (1073264640).

Almost surely, 267148355100 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 67148355100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77275054080).

67148355100 is an abundant number, since it is smaller than the sum of its proper divisors (87401753060).

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

67148355100 is a wasteful number, since it uses less digits than its factorization.

67148355100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 67148355100 in words is "sixty-seven billion, one hundred forty-eight million, three hundred fifty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 89 92 100 115 178 223 230 356 445 446 460 575 890 892 1115 1150 1471 1780 2047 2225 2230 2300 2942 4094 4450 4460 5129 5575 5884 7355 8188 8900 10235 10258 11150 14710 19847 20470 20516 22300 25645 29420 33833 36775 39694 40940 51175 51290 67666 73550 79388 99235 102350 102580 128225 130919 135332 147100 169165 198470 204700 256450 261838 328033 338330 396940 456481 496175 512900 523676 654595 656066 676660 845825 912962 992350 1309190 1312132 1640165 1691650 1825924 1984700 2282405 2618380 3011137 3272975 3280330 3383300 4564810 6022274 6545950 6560660 7544759 8200825 9129620 11412025 12044548 13091900 15055685 15089518 16401650 22824050 29194937 30111370 30179036 32803300 37723795 45648100 58389874 60222740 75278425 75447590 116779748 145974685 150556850 150895180 188618975 291949370 301113700 377237950 583898740 671483551 729873425 754475900 1342967102 1459746850 2685934204 2919493700 3357417755 6714835510 13429671020 16787088775 33574177550 67148355100