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146655799120 = 2451833197489
BaseRepresentation
bin1000100010010101011…
…1011110011101010000
3112000112200202111200201
42020211113132131100
54400322341032440
6151212302424544
713411160503315
oct2104527363520
9460480674621
10146655799120
1157218414576
122450a892154
1310aa279247c
14715358ad0c
153c351ea19a
hex22255de750

146655799120 has 20 divisors (see below), whose sum is σ = 340974733140. Its totient is φ = 58662319616.

The previous prime is 146655799057. The next prime is 146655799163. The reversal of 146655799120 is 21997556641.

It can be written as a sum of positive squares in 2 ways, for example, as 97446362896 + 49209436224 = 312164^2 + 221832^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-4 number, since 4×1466557991204 (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 916598665 + ... + 916598824.

It is an arithmetic number, because the mean of its divisors is an integer number (17048736657).

Almost surely, 2146655799120 is an apocalyptic number.

146655799120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146655799120 is an abundant number, since it is smaller than the sum of its proper divisors (194318934020).

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

146655799120 is a wasteful number, since it uses less digits than its factorization.

146655799120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833197502 (or 1833197496 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 146655799120 in words is "one hundred forty-six billion, six hundred fifty-five million, seven hundred ninety-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1833197489 3666394978 7332789956 9165987445 14665579912 18331974890 29331159824 36663949780 73327899560 146655799120