Search a number
-
+
157033756288 = 279712647693
BaseRepresentation
bin1001001000111111110…
…0001111011010000000
3120000022221201100120201
42102033330033122000
510033101120200123
6200050150214544
714226304622233
oct2221774173200
9500287640521
10157033756288
1160663509382
1226526354454
1311a67874026
1478599b741a
1541413655ad
hex248ff0f680

157033756288 has 32 divisors (see below), whose sum is σ = 316065873060. Its totient is φ = 77707419648.

The previous prime is 157033756249. The next prime is 157033756289. The reversal of 157033756288 is 882657330751.

It can be written as a sum of positive squares in 2 ways, for example, as 139331985984 + 17701770304 = 373272^2 + 133048^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1570337562882 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (157033756289) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6311431 + ... + 6336262.

Almost surely, 2157033756288 is an apocalyptic number.

It is an amenable number.

157033756288 is an abundant number, since it is smaller than the sum of its proper divisors (159032116772).

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

157033756288 is an equidigital number, since it uses as much as digits as its factorization.

157033756288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12647804 (or 12647792 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 157033756288 in words is "one hundred fifty-seven billion, thirty-three million, seven hundred fifty-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 3104 6208 12416 12647693 25295386 50590772 101181544 202363088 404726176 809452352 1226826221 1618904704 2453652442 4907304884 9814609768 19629219536 39258439072 78516878144 157033756288