Search a number
-
+
2057700557952 = 273413611072339
BaseRepresentation
bin11101111100011000100…
…000101100010010000000
321021201021200121220020000
4131330120200230102000
5232203132320323302
64213143344120000
7301443511104054
oct35743040542200
97251250556200
102057700557952
11723736359016
12292967906000
1311c06a7b3360
1471843bbbc64
15387d391e31c
hex1df1882c480

2057700557952 has 640 divisors, whose sum is σ = 6768382420800. Its totient is φ = 616675368960.

The previous prime is 2057700557933. The next prime is 2057700557959. The reversal of 2057700557952 is 2597550077502.

It is a super-2 number, since 2×20577005579522 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2057700557959) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 879733999 + ... + 879736337.

Almost surely, 22057700557952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057700557952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384191210400).

2057700557952 is an abundant number, since it is smaller than the sum of its proper divisors (4710681862848).

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

2057700557952 is a wasteful number, since it uses less digits than its factorization.

2057700557952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 7717500, while the sum is 54.

The spelling of 2057700557952 in words is "two trillion, fifty-seven billion, seven hundred million, five hundred fifty-seven thousand, nine hundred fifty-two".