Search a number
-
+
25045410120 = 23351930373617
BaseRepresentation
bin10111010100110100…
…101010000101001000
32101122110100122210020
4113110310222011020
5402243111110440
615301122020440
71544435321253
oct272464520510
971573318706
1025045410120
11a692532355
124a2b7a7720
132491a75703
1412d840809a
159b8b923d0
hex5d4d2a148

25045410120 has 128 divisors (see below), whose sum is σ = 79138684800. Its totient is φ = 6323429376.

The previous prime is 25045410113. The next prime is 25045410127. The reversal of 25045410120 is 2101454052.

It is an interprime number because it is at equal distance from previous prime (25045410113) and next prime (25045410127).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (25045410127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6922552 + ... + 6926168.

It is an arithmetic number, because the mean of its divisors is an integer number (618270975).

Almost surely, 225045410120 is an apocalyptic number.

25045410120 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 25045410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39569342400).

25045410120 is an abundant number, since it is smaller than the sum of its proper divisors (54093274680).

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

25045410120 is a wasteful number, since it uses less digits than its factorization.

25045410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6687 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 25045410120 its reverse (2101454052), we get a palindrome (27146864172).

The spelling of 25045410120 in words is "twenty-five billion, forty-five million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 3037 3617 6074 7234 9111 10851 12148 14468 15185 18085 18222 21702 24296 28936 30370 36170 36444 43404 45555 54255 57703 60740 68723 72340 72888 86808 91110 108510 115406 121480 137446 144680 173109 182220 206169 217020 230812 274892 288515 343615 346218 364440 412338 434040 461624 549784 577030 687230 692436 824676 865545 1030845 1154060 1374460 1384872 1649352 1731090 2061690 2308120 2748920 3462180 4123380 6924360 8246760 10984829 21969658 32954487 43939316 54924145 65908974 87878632 109848290 131817948 164772435 208711751 219696580 263635896 329544870 417423502 439393160 626135253 659089740 834847004 1043558755 1252270506 1318179480 1669694008 2087117510 2504541012 3130676265 4174235020 5009082024 6261352530 8348470040 12522705060 25045410120