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145720187460 = 2234589950733
BaseRepresentation
bin1000011110110110011…
…0011001101001000100
3111221010111020111210000
42013231212121221010
54341413331444320
6150535401201300
713346040104451
oct2075546315104
9457114214700
10145720187460
11568882796a1
12242a9490230
13109839aa7c3
1470a5200828
153bcced6c90
hex21ed999a44

145720187460 has 60 divisors (see below), whose sum is σ = 457129630188. Its totient is φ = 38858716224.

The previous prime is 145720187443. The next prime is 145720187527. The reversal of 145720187460 is 64781027541.

145720187460 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 2 + 0 + 187 + 460 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34963016256 + 110757171204 = 186984^2 + 332802^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44973747 + ... + 44976986.

Almost surely, 2145720187460 is an apocalyptic number.

145720187460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145720187460 is an abundant number, since it is smaller than the sum of its proper divisors (311409442728).

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

145720187460 is a wasteful number, since it uses less digits than its factorization.

145720187460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89950754 (or 89950743 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 145720187460 in words is "one hundred forty-five billion, seven hundred twenty million, one hundred eighty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 89950733 179901466 269852199 359802932 449753665 539704398 809556597 899507330 1079408796 1349260995 1619113194 1799014660 2428669791 2698521990 3238226388 4047782985 4857339582 5397043980 7286009373 8095565970 9714679164 12143348955 14572018746 16191131940 24286697910 29144037492 36430046865 48573395820 72860093730 145720187460