Search a number
-
+
57060770401140 = 223511318123343333
BaseRepresentation
bin11001111100101011111101…
…11100110100101101110100
321111000221211012100110221220
430332111332330310231310
524434340424210314030
6321205204523310340
715006335040524442
oct1476257674645564
9244027735313856
1057060770401140
11171aa378358250
12649691467b3b0
1325aba6629713c
141013a82755b92
1568e43553da10
hex33e57ef34b74

57060770401140 has 192 divisors, whose sum is σ = 179939800276992. Its totient is φ = 13385004019200.

The previous prime is 57060770401127. The next prime is 57060770401153. The reversal of 57060770401140 is 4110407706075.

It is an interprime number because it is at equal distance from previous prime (57060770401127) and next prime (57060770401153).

It is a super-2 number, since 2×570607704011402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57060770401092 and 57060770401101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166024914 + ... + 166368246.

It is an arithmetic number, because the mean of its divisors is an integer number (937186459776).

Almost surely, 257060770401140 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 57060770401140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89969900138496).

57060770401140 is an abundant number, since it is smaller than the sum of its proper divisors (122879029875852).

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

57060770401140 is a wasteful number, since it uses less digits than its factorization.

57060770401140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351510 (or 351508 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 57060770401140 in words is "fifty-seven trillion, sixty billion, seven hundred seventy million, four hundred one thousand, one hundred forty".