Search a number
-
+
57235577553275 = 521114912371129217
BaseRepresentation
bin11010000001110001100100…
…10001001100000101111011
321111122200000210211220002212
431000320302101030011323
530000221430323201100
6321421354503245335
715025063653021422
oct1500706221140573
9244580023756085
1057235577553275
1117267521444a20
12650477b14984b
1325c23a412b034
14101c306a102b9
15693c66dea635
hex340e3244c17b

57235577553275 has 48 divisors (see below), whose sum is σ = 78006831127200. Its totient is φ = 41313044889600.

The previous prime is 57235577553223. The next prime is 57235577553313.

57235577553275 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57235577553275 - 242 = 52837531042171 is a prime.

It is a super-2 number, since 2×572355775532752 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50121467 + ... + 51250683.

It is an arithmetic number, because the mean of its divisors is an integer number (1625142315150).

Almost surely, 257235577553275 is an apocalyptic number.

57235577553275 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57235577553275 is a deficient number, since it is larger than the sum of its proper divisors (20771253573925).

57235577553275 is a wasteful number, since it uses less digits than its factorization.

57235577553275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130624 (or 1130619 counting only the distinct ones).

The product of its digits is 1350562500, while the sum is 68.

The spelling of 57235577553275 in words is "fifty-seven trillion, two hundred thirty-five billion, five hundred seventy-seven million, five hundred fifty-three thousand, two hundred seventy-five".

Divisors: 1 5 11 25 55 149 275 745 1237 1639 3725 6185 8195 13607 30925 40975 68035 184313 340175 921565 1129217 2027443 4607825 5646085 10137215 12421387 28230425 50686075 62106935 168253333 310534675 841266665 1396841429 1850786663 4206333325 6984207145 9253933315 15365255719 34921035725 46269666575 76826278595 208129372921 384131392975 1040646864605 2289423102131 5203234323025 11447115510655 57235577553275