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150008006800 = 24521722060001
BaseRepresentation
bin1000101110110100101…
…1001000100010010000
3112100012022112022010201
42023231023020202100
54424204022204200
6152525052104544
713560224006461
oct2135513104220
9470168468121
10150008006800
1158688677843
12250a5465154
13111b8123a02
147390876d68
153d7e661c6a
hex22ed2c8890

150008006800 has 60 divisors (see below), whose sum is σ = 381593914596. Its totient is φ = 56473600000.

The previous prime is 150008006777. The next prime is 150008006801. The reversal of 150008006800 is 8600800051.

It is a happy number.

150008006800 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 6 ways, for example, as 18163491984 + 131844514816 = 134772^2 + 363104^2 .

It is not an unprimeable number, because it can be changed into a prime (150008006801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11023201 + ... + 11036800.

Almost surely, 2150008006800 is an apocalyptic number.

150008006800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150008006800 is an abundant number, since it is smaller than the sum of its proper divisors (231585907796).

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

150008006800 is a wasteful number, since it uses less digits than its factorization.

150008006800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22060036 (or 22060025 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

Adding to 150008006800 its reverse (8600800051), we get a palindrome (158608806851).

The spelling of 150008006800 in words is "one hundred fifty billion, eight million, six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 22060001 44120002 88240004 110300005 176480008 220600010 352960016 375020017 441200020 551500025 750040034 882400040 1103000050 1500080068 1764800080 1875100085 2206000100 3000160136 3750200170 4412000200 6000320272 7500400340 8824000400 9375500425 15000800680 18751000850 30001601360 37502001700 75004003400 150008006800