Base | Representation |
---|---|
bin | 1001001001000110010… |
… | …0010010100011000000 |
3 | 120000101212001010000000 |
4 | 2102101210102203000 |
5 | 10033130111012003 |
6 | 200053003000000 |
7 | 14230055513520 |
oct | 2222144224300 |
9 | 500355033000 |
10 | 157061032128 |
11 | 606779490a0 |
12 | 26533509000 |
13 | 11a70404090 |
14 | 785d477680 |
15 | 41439521a3 |
hex | 24919128c0 |
157061032128 has 1792 divisors, whose sum is σ = 671827968000. Its totient is φ = 35070382080.
The previous prime is 157061032127. The next prime is 157061032151. The reversal of 157061032128 is 821230160751.
157061032128 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 610 + 32 + 1 + 2 + 8 = 666.
It is a super-2 number, since 2×1570610321282 (a number of 23 digits) contains 22 as substring.
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 = 157061032092 and 157061032101.
It is not an unprimeable number, because it can be changed into a prime (157061032127) by changing a digit.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2662051363 + ... + 2662051421.
It is an arithmetic number, because the mean of its divisors is an integer number (374904000).
Almost surely, 2157061032128 is an apocalyptic number.
157061032128 is a gapful number since it is divisible by the number (18) 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 157061032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335913984000).
157061032128 is an abundant number, since it is smaller than the sum of its proper divisors (514766935872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
157061032128 is a wasteful number, since it uses less digits than its factorization.
157061032128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 142 (or 114 counting only the distinct ones).
The product of its (nonzero) digits is 20160, while the sum is 36.
Adding to 157061032128 its reverse (821230160751), we get a palindrome (978291192879).
The spelling of 157061032128 in words is "one hundred fifty-seven billion, sixty-one million, thirty-two thousand, one hundred twenty-eight".
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