Search a number
-
+
25730071640 = 23571367105503
BaseRepresentation
bin10111111101101000…
…011011110001011000
32110102011200001211022
4113331220123301120
5410143344243030
615453100422012
71600421000060
oct277550336130
973364601738
1025730071640
11aa03a55719
124ba0b47908
132570874380
14136130c3a0
15a08d34de5
hex5fda1bc58

25730071640 has 128 divisors (see below), whose sum is σ = 72316661760. Its totient is φ = 8021528064.

The previous prime is 25730071639. The next prime is 25730071649. The reversal of 25730071640 is 4617003752.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 25730071640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25730071649) 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, 191129 + ... + 296631.

It is an arithmetic number, because the mean of its divisors is an integer number (564973920).

Almost surely, 225730071640 is an apocalyptic number.

25730071640 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 25730071640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36158330880).

25730071640 is an abundant number, since it is smaller than the sum of its proper divisors (46586590120).

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

25730071640 is a wasteful number, since it uses less digits than its factorization.

25730071640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105601 (or 105597 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 25730071640 in words is "twenty-five billion, seven hundred thirty million, seventy-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 67 70 91 104 130 134 140 182 260 268 280 335 364 455 469 520 536 670 728 871 910 938 1340 1742 1820 1876 2345 2680 3484 3640 3752 4355 4690 6097 6968 8710 9380 12194 17420 18760 24388 30485 34840 48776 60970 105503 121940 211006 243880 422012 527515 738521 844024 1055030 1371539 1477042 2110060 2743078 2954084 3692605 4220120 5486156 5908168 6857695 7068701 7385210 9600773 10972312 13715390 14137402 14770420 19201546 27430780 28274804 29540840 35343505 38403092 48003865 49480907 54861560 56549608 70687010 76806184 91893113 96007730 98961814 141374020 183786226 192015460 197923628 247404535 282748040 367572452 384030920 395847256 459465565 494809070 643251791 735144904 918931130 989618140 1286503582 1837862260 1979236280 2573007164 3216258955 3675724520 5146014328 6432517910 12865035820 25730071640