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60456073140 = 22335197568303
BaseRepresentation
bin111000010011011101…
…100111011110110100
312210001021202201111000
4320103131213132310
51442303223320030
643434555243300
74240105100001
oct702335473664
9183037681430
1060456073140
1123703971611
12b872749530
1359160a2258
142cd72928a8
15188c7e0860
hexe137677b4

60456073140 has 96 divisors (see below), whose sum is σ = 189040642560. Its totient is φ = 16039755648.

The previous prime is 60456073079. The next prime is 60456073147. The reversal of 60456073140 is 4137065406.

It is a happy number.

60456073140 is a `hidden beast` number, since 6 + 0 + 4 + 5 + 607 + 3 + 1 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 60456073095 and 60456073104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60456073147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177772 + ... + 390531.

It is an arithmetic number, because the mean of its divisors is an integer number (1969173360).

Almost surely, 260456073140 is an apocalyptic number.

60456073140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

60456073140 is an abundant number, since it is smaller than the sum of its proper divisors (128584569420).

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

60456073140 is a wasteful number, since it uses less digits than its factorization.

60456073140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568518 (or 568510 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 60456073140 in words is "sixty billion, four hundred fifty-six million, seventy-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 197 270 394 540 591 788 985 1182 1773 1970 2364 2955 3546 3940 5319 5910 7092 8865 10638 11820 17730 21276 26595 35460 53190 106380 568303 1136606 1704909 2273212 2841515 3409818 5114727 5683030 6819636 8524545 10229454 11366060 15344181 17049090 20458908 25573635 30688362 34098180 51147270 61376724 76720905 102294540 111955691 153441810 223911382 306883620 335867073 447822764 559778455 671734146 1007601219 1119556910 1343468292 1679335365 2015202438 2239113820 3022803657 3358670730 4030404876 5038006095 6045607314 6717341460 10076012190 12091214628 15114018285 20152024380 30228036570 60456073140