Search a number
-
+
57306115700 = 22521517614987
BaseRepresentation
bin110101010111101101…
…011110111001110100
312110220202120022012122
4311113231132321310
51414330331200300
642154232535112
74066045642421
oct652755367164
9173822508178
1057306115700
11223378989a9
12b133851498
135533605302
142ab8bb2d48
151755ec9c85
hexd57b5ee74

57306115700 has 72 divisors (see below), whose sum is σ = 125367434304. Its totient is φ = 22736160000.

The previous prime is 57306115693. The next prime is 57306115717. The reversal of 57306115700 is 751160375.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11488607 + ... + 11493593.

Almost surely, 257306115700 is an apocalyptic number.

57306115700 is a gapful number since it is divisible by the number (50) 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 57306115700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62683717152).

57306115700 is an abundant number, since it is smaller than the sum of its proper divisors (68061318604).

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

57306115700 is a wasteful number, since it uses less digits than its factorization.

57306115700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5913 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 35.

The spelling of 57306115700 in words is "fifty-seven billion, three hundred six million, one hundred fifteen thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 302 604 755 761 1510 1522 3020 3044 3775 3805 4987 7550 7610 9974 15100 15220 19025 19948 24935 38050 49870 76100 99740 114911 124675 229822 249350 459644 498700 574555 753037 1149110 1506074 2298220 2872775 3012148 3765185 3795107 5745550 7530370 7590214 11491100 15060740 15180428 18825925 18975535 37651850 37951070 75303700 75902140 94877675 189755350 379510700 573061157 1146122314 2292244628 2865305785 5730611570 11461223140 14326528925 28653057850 57306115700