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25807440340 = 22511737920341
BaseRepresentation
bin11000000010001111…
…100100100111010100
32110121120020210201201
4120002033210213110
5410323201042330
615504503002244
71602350423563
oct300217444724
973546223651
1025807440340
11aa436999a0
125002a39384
1325838c2b76
14136b6cbbda
15a10a18eca
hex6023e49d4

25807440340 has 96 divisors (see below), whose sum is σ = 60694018560. Its totient is φ = 9138355200.

The previous prime is 25807440331. The next prime is 25807440343. The reversal of 25807440340 is 4304470852.

It is a self number, because there is not a number n which added to its sum of digits gives 25807440340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25807440343) 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, 1258570 + ... + 1278910.

It is an arithmetic number, because the mean of its divisors is an integer number (632229360).

Almost surely, 225807440340 is an apocalyptic number.

25807440340 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 25807440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30347009280).

25807440340 is an abundant number, since it is smaller than the sum of its proper divisors (34886578220).

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

25807440340 is a wasteful number, since it uses less digits than its factorization.

25807440340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20513 (or 20511 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The spelling of 25807440340 in words is "twenty-five billion, eight hundred seven million, four hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 79 110 146 158 220 292 316 365 395 730 790 803 869 1460 1580 1606 1738 3212 3476 4015 4345 5767 8030 8690 11534 16060 17380 20341 23068 28835 40682 57670 63437 81364 101705 115340 126874 203410 223751 253748 317185 406820 447502 634370 895004 1118755 1268740 1484893 1606939 2237510 2969786 3213878 4475020 5939572 6427756 7424465 8034695 14848930 16069390 16333823 17676329 29697860 32138780 32667646 35352658 65335292 70705316 81669115 88381645 117306547 163338230 176763290 234613094 326676460 353526580 469226188 586532735 1173065470 1290372017 2346130940 2580744034 5161488068 6451860085 12903720170 25807440340