Search a number
-
+
157620611232 = 2534724130269
BaseRepresentation
bin1001001011001011101…
…0111010100010100000
3120001211211222200020000
42102302322322202200
510040301334024412
6200224312420000
714246662042500
oct2226272724240
9501754880200
10157620611232
11609347a9167
122666a9a7600
1311b2c319686
1478b38dba00
154177b384dc
hex24b2eba8a0

157620611232 has 360 divisors, whose sum is σ = 552411214740. Its totient is φ = 43934607360.

The previous prime is 157620611231. The next prime is 157620611233. The reversal of 157620611232 is 232116026751.

157620611232 is a `hidden beast` number, since 1 + 5 + 7 + 6 + 2 + 0 + 611 + 2 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (157620611231) and next prime (157620611233).

It can be written as a sum of positive squares in 2 ways, for example, as 155933373456 + 1687237776 = 394884^2 + 41076^2 .

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

It is not an unprimeable number, because it can be changed into a prime (157620611231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5192194 + ... + 5222462.

Almost surely, 2157620611232 is an apocalyptic number.

157620611232 is a gapful number since it is divisible by the number (12) 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 157620611232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276205607370).

157620611232 is an abundant number, since it is smaller than the sum of its proper divisors (394790603508).

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

157620611232 is a wasteful number, since it uses less digits than its factorization.

157620611232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30346 (or 30322 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 157620611232 its reverse (232116026751), we get a palindrome (389736637983).

The spelling of 157620611232 in words is "one hundred fifty-seven billion, six hundred twenty million, six hundred eleven thousand, two hundred thirty-two".