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15540345340 = 225134311312301
BaseRepresentation
bin11100111100100011…
…01101100111111100
31111010000220100010221
432132101231213330
5223311312022330
611050015311124
71060050520162
oct163621554774
944100810127
1015540345340
116655135513
12301851b4a4
131608788c20
14a75cbd232
1560e49bb7a
hex39e46d9fc

15540345340 has 96 divisors (see below), whose sum is σ = 36283617216. Its totient is φ = 5554483200.

The previous prime is 15540345259. The next prime is 15540345341. The reversal of 15540345340 is 4354304551.

It is a junction number, because it is equal to n+sod(n) for n = 15540345296 and 15540345305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15540345341) 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, 1257190 + ... + 1269490.

It is an arithmetic number, because the mean of its divisors is an integer number (377954346).

Almost surely, 215540345340 is an apocalyptic number.

15540345340 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 15540345340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18141808608).

15540345340 is an abundant number, since it is smaller than the sum of its proper divisors (20743271876).

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

15540345340 is a wasteful number, since it uses less digits than its factorization.

15540345340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12479 (or 12477 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 15540345340 its reverse (4354304551), we get a palindrome (19894649891).

The spelling of 15540345340 in words is "fifteen billion, five hundred forty million, three hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 113 130 172 215 226 260 430 452 559 565 860 1118 1130 1469 2236 2260 2795 2938 4859 5590 5876 7345 9718 11180 12301 14690 19436 24295 24602 29380 48590 49204 61505 63167 97180 123010 126334 159913 246020 252668 315835 319826 528943 631670 639652 799565 1057886 1263340 1390013 1599130 2115772 2644715 2780026 3198260 5289430 5560052 6876259 6950065 10578860 13752518 13900130 18070169 27505036 27800260 34381295 36140338 59770559 68762590 72280676 90350845 119541118 137525180 180701690 239082236 298852795 361403380 597705590 777017267 1195411180 1554034534 3108069068 3885086335 7770172670 15540345340