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60648134112 = 2532719730577
BaseRepresentation
bin111000011110111010…
…010001010111100000
312210112200011102121100
4320132322101113200
51443201410242422
643510015554400
74244626430346
oct703672212740
9183480142540
1060648134112
11237a2321895
12b906b2ba00
135946b09ab7
142d149a9996
15189e5cc7ac
hexe1ee915e0

60648134112 has 144 divisors (see below), whose sum is σ = 176706103392. Its totient is φ = 19725189120.

The previous prime is 60648134111. The next prime is 60648134149. The reversal of 60648134112 is 21143184606.

60648134112 is a `hidden beast` number, since 6 + 0 + 648 + 1 + 3 + 4 + 1 + 1 + 2 = 666.

60648134112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60648134111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1968168 + ... + 1998744.

It is an arithmetic number, because the mean of its divisors is an integer number (1227125718).

Almost surely, 260648134112 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 60648134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88353051696).

60648134112 is an abundant number, since it is smaller than the sum of its proper divisors (116057969280).

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

60648134112 is a wasteful number, since it uses less digits than its factorization.

60648134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30761 (or 30750 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 60648134112 in words is "sixty billion, six hundred forty-eight million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 97 142 144 194 213 284 288 291 388 426 568 582 639 776 852 873 1136 1164 1278 1552 1704 1746 2272 2328 2556 3104 3408 3492 4656 5112 6816 6887 6984 9312 10224 13774 13968 20448 20661 27548 27936 30577 41322 55096 61154 61983 82644 91731 110192 122308 123966 165288 183462 220384 244616 247932 275193 330576 366924 489232 495864 550386 661152 733848 978464 991728 1100772 1467696 1983456 2170967 2201544 2935392 2965969 4341934 4403088 5931938 6512901 8683868 8806176 8897907 11863876 13025802 17367736 17795814 19538703 23727752 26051604 26693721 34735472 35591628 39077406 47455504 52103208 53387442 69470944 71183256 78154812 94911008 104206416 106774884 142366512 156309624 208412832 210583799 213549768 284733024 312619248 421167598 427099536 625238496 631751397 842335196 854199072 1263502794 1684670392 1895254191 2527005588 3369340784 3790508382 5054011176 6738681568 7581016764 10108022352 15162033528 20216044704 30324067056 60648134112