Search a number
-
+
53109085160 = 23537181198257
BaseRepresentation
bin110001011101100011…
…000101001111101000
312002002021010001200002
4301131203011033220
51332231411211120
640221544002132
73560043526655
oct613543051750
9162067101602
1053109085160
112058376a81a
12a362160348
135014c290a1
1427db610c2c
1515ac7d5375
hexc5d8c53e8

53109085160 has 64 divisors (see below), whose sum is σ = 123403709520. Its totient is φ = 20555182080.

The previous prime is 53109085109. The next prime is 53109085163. The reversal of 53109085160 is 6158090135.

53109085160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 16351759876 + 36757325284 = 127874^2 + 191722^2 .

It is not an unprimeable number, because it can be changed into a prime (53109085163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168752 + ... + 367008.

Almost surely, 253109085160 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 53109085160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61701854760).

53109085160 is an abundant number, since it is smaller than the sum of its proper divisors (70294624360).

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

53109085160 is a wasteful number, since it uses less digits than its factorization.

53109085160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198486 (or 198482 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The spelling of 53109085160 in words is "fifty-three billion, one hundred nine million, eighty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 181 185 296 362 370 724 740 905 1448 1480 1810 3620 6697 7240 13394 26788 33485 53576 66970 133940 198257 267880 396514 793028 991285 1586056 1982570 3965140 7335509 7930280 14671018 29342036 35884517 36677545 58684072 71769034 73355090 143538068 146710180 179422585 287076136 293420360 358845170 717690340 1327727129 1435380680 2655454258 5310908516 6638635645 10621817032 13277271290 26554542580 53109085160