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15225421640 = 23511134635749
BaseRepresentation
bin11100010111000000…
…10111111101001000
31110022002022120001012
432023200113331020
5222140201443030
610554445343052
71046204643242
oct161340277510
943262276035
1015225421640
1165033986a0
122b4ab67a88
131588464440
14a46143092
155e19e1095
hex38b817f48

15225421640 has 128 divisors (see below), whose sum is σ = 40340160000. Its totient is φ = 5098705920.

The previous prime is 15225421609. The next prime is 15225421643. The reversal of 15225421640 is 4612452251.

15225421640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 15225421597 and 15225421606.

It is not an unprimeable number, because it can be changed into a prime (15225421643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2645486 + ... + 2651234.

It is an arithmetic number, because the mean of its divisors is an integer number (315157500).

Almost surely, 215225421640 is an apocalyptic number.

15225421640 is a gapful number since it is divisible by the number (10) 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 15225421640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20170080000).

15225421640 is an abundant number, since it is smaller than the sum of its proper divisors (25114738360).

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

15225421640 is a wasteful number, since it uses less digits than its factorization.

15225421640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6247 (or 6243 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 15225421640 its reverse (4612452251), we get a palindrome (19837873891).

The spelling of 15225421640 in words is "fifteen billion, two hundred twenty-five million, four hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 463 520 572 715 926 1144 1430 1852 2315 2860 3704 4630 5093 5720 5749 6019 9260 10186 11498 12038 18520 20372 22996 24076 25465 28745 30095 40744 45992 48152 50930 57490 60190 63239 66209 74737 101860 114980 120380 126478 132418 149474 203720 229960 240760 252956 264836 298948 316195 331045 373685 505912 529672 597896 632390 662090 747370 822107 1264780 1324180 1494740 1644214 2529560 2648360 2661787 2989480 3288428 4110535 5323574 6576856 8221070 10647148 13308935 16442140 21294296 26617870 29279657 32884280 34603231 53235740 58559314 69206462 106471480 117118628 138412924 146398285 173016155 234237256 276825848 292796570 346032310 380635541 585593140 692064620 761271082 1171186280 1384129240 1522542164 1903177705 3045084328 3806355410 7612710820 15225421640