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148286701800 = 23325282381501
BaseRepresentation
bin1000101000011010010…
…0111000000011101000
3112011202100120221120200
42022012210320003220
54412142343424200
6152042202352200
713466453111526
oct2120644700350
9464670527520
10148286701800
1157984a82926
12248a4abb660
1310ca2628043
14726a007316
153ccd4a0800
hex22869380e8

148286701800 has 72 divisors (see below), whose sum is σ = 497996179590. Its totient is φ = 39543120000.

The previous prime is 148286701799. The next prime is 148286701831. The reversal of 148286701800 is 8107682841.

148286701800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 110525662116 + 37761039684 = 332454^2 + 194322^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 41188951 + ... + 41192550.

Almost surely, 2148286701800 is an apocalyptic number.

148286701800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148286701800 is an abundant number, since it is smaller than the sum of its proper divisors (349709477790).

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

148286701800 is a wasteful number, since it uses less digits than its factorization.

148286701800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82381523 (or 82381511 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 148286701800 in words is "one hundred forty-eight billion, two hundred eighty-six million, seven hundred one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 82381501 164763002 247144503 329526004 411907505 494289006 659052008 741433509 823815010 988578012 1235722515 1482867018 1647630020 1977156024 2059537525 2471445030 2965734036 3295260040 3707167545 4119075050 4942890060 5931468072 6178612575 7414335090 8238150100 9885780120 12357225150 14828670180 16476300200 18535837725 24714450300 29657340360 37071675450 49428900600 74143350900 148286701800