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150157203840 = 273657231999
BaseRepresentation
bin1000101111011000010…
…0010001100110000000
3112100120201021022000000
42023312010101212000
54430010221010330
6152551542000000
713564015113330
oct2136604214600
9470521238000
10150157203840
1158754910786
1225127416000
1311210001297
1473a65d30c0
153d8c7d3560
hex22f6111980

150157203840 has 896 divisors, whose sum is σ = 642159360000. Its totient is φ = 32812978176.

The previous prime is 150157203803. The next prime is 150157203841. The reversal of 150157203840 is 48302751051.

150157203840 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 572 + 0 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a junction number, because it is equal to n+sod(n) for n = 150157203795 and 150157203804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150157203841) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 75115161 + ... + 75117159.

Almost surely, 2150157203840 is an apocalyptic number.

150157203840 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 150157203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321079680000).

150157203840 is an abundant number, since it is smaller than the sum of its proper divisors (492002156160).

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

150157203840 is an equidigital number, since it uses as much as digits as its factorization.

150157203840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 150157203840 its reverse (48302751051), we get a palindrome (198459954891).

The spelling of 150157203840 in words is "one hundred fifty billion, one hundred fifty-seven million, two hundred three thousand, eight hundred forty".