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150796800000 = 212325571117
BaseRepresentation
bin1000110001110000110…
…0001001000000000000
3112102020021210010222200
42030130030021000000
54432312440100000
6153135230433200
713615612436220
oct2143414110000
9472207703880
10150796800000
1158a52953850
1225285662800
13112b2681952
147427526080
153dc8a23500
hex231c309000

150796800000 has 1872 divisors, whose sum is σ = 718714249344. Its totient is φ = 29491200000.

The previous prime is 150796799999. The next prime is 150796800001. The reversal of 150796800000 is 8697051.

It is an interprime number because it is at equal distance from previous prime (150796799999) and next prime (150796800001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150796800001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8870399992 + ... + 8870400008.

It is an arithmetic number, because the mean of its divisors is an integer number (383928552).

Almost surely, 2150796800000 is an apocalyptic number.

150796800000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150796800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359357124672).

150796800000 is an abundant number, since it is smaller than the sum of its proper divisors (567917449344).

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

150796800000 is an equidigital number, since it uses as much as digits as its factorization.

150796800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 150796800000 in words is "one hundred fifty billion, seven hundred ninety-six million, eight hundred thousand".