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25342322320 = 2457263172069
BaseRepresentation
bin10111100110100001…
…010010011010010000
32102102011001100202101
4113212201102122100
5403400113303240
615350405530144
71555002120430
oct274641223220
972364040671
1025342322320
11a825097937
124ab3113954
13250b431bc3
141325a162c0
159d4c9139a
hex5e6852690

25342322320 has 80 divisors (see below), whose sum is σ = 67594602240. Its totient is φ = 8655708672.

The previous prime is 25342322287. The next prime is 25342322321. The reversal of 25342322320 is 2322324352.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (25342322321) 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, 61246 + ... + 233314.

It is an arithmetic number, because the mean of its divisors is an integer number (844932528).

Almost surely, 225342322320 is an apocalyptic number.

25342322320 is a gapful number since it is divisible by the number (20) 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 25342322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33797301120).

25342322320 is an abundant number, since it is smaller than the sum of its proper divisors (42252279920).

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

25342322320 is a wasteful number, since it uses less digits than its factorization.

25342322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172352 (or 172346 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

Adding to 25342322320 its reverse (2322324352), we get a palindrome (27664646672).

The spelling of 25342322320 in words is "twenty-five billion, three hundred forty-two million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 263 280 526 560 1052 1315 1841 2104 2630 3682 4208 5260 7364 9205 10520 14728 18410 21040 29456 36820 73640 147280 172069 344138 688276 860345 1204483 1376552 1720690 2408966 2753104 3441380 4817932 6022415 6882760 9635864 12044830 13765520 19271728 24089660 45254147 48179320 90508294 96358640 181016588 226270735 316779029 362033176 452541470 633558058 724066352 905082940 1267116116 1583895145 1810165880 2534232232 3167790290 3620331760 5068464464 6335580580 12671161160 25342322320