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150200075520 = 28345111761127
BaseRepresentation
bin1000101111100010011…
…1110100010100000000
3112100200200221101220000
42023320213310110000
54430102204404040
6153000112520000
713565045401545
oct2137047642400
9470620841800
10150200075520
1158777032920
1225139850000
1311218b61c41
1473ac192bcc
153d91451130
hex22f89f4500

150200075520 has 1440 divisors, whose sum is σ = 635935297536. Its totient is φ = 33443020800.

The previous prime is 150200075507. The next prime is 150200075533. The reversal of 150200075520 is 25570002051.

It is a happy number.

150200075520 is a `hidden beast` number, since 1 + 50 + 20 + 0 + 0 + 75 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (150200075507) and next prime (150200075533).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1182677697 + ... + 1182677823.

Almost surely, 2150200075520 is an apocalyptic number.

150200075520 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 150200075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317967648768).

150200075520 is an abundant number, since it is smaller than the sum of its proper divisors (485735222016).

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

150200075520 is a wasteful number, since it uses less digits than its factorization.

150200075520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

Adding to 150200075520 its reverse (25570002051), we get a palindrome (175770077571).

The spelling of 150200075520 in words is "one hundred fifty billion, two hundred million, seventy-five thousand, five hundred twenty".