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15014116540 = 22519311916673
BaseRepresentation
bin11011111101110100…
…10011110010111100
31102202100201010221101
431332322103302330
5221222103212130
610521500342444
71041030612343
oct157672236274
942670633841
1015014116540
116405093a85
122ab0244a24
13155374c537
14a2605ab5a
155cd1a21ca
hex37ee93cbc

15014116540 has 96 divisors (see below), whose sum is σ = 34444247040. Its totient is φ = 5476377600.

The previous prime is 15014116529. The next prime is 15014116549. The reversal of 15014116540 is 4561141051.

It is a junction number, because it is equal to n+sod(n) for n = 15014116499 and 15014116508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15014116549) 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, 2246644 + ... + 2253316.

It is an arithmetic number, because the mean of its divisors is an integer number (358794240).

Almost surely, 215014116540 is an apocalyptic number.

15014116540 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 15014116540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17222123520).

15014116540 is an abundant number, since it is smaller than the sum of its proper divisors (19430130500).

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

15014116540 is a wasteful number, since it uses less digits than its factorization.

15014116540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6923 (or 6921 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 15014116540 its reverse (4561141051), we get a palindrome (19575257591).

The spelling of 15014116540 in words is "fifteen billion, fourteen million, one hundred sixteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 191 310 380 382 589 620 764 955 1178 1910 2356 2945 3629 3820 5890 5921 6673 7258 11780 11842 13346 14516 18145 23684 26692 29605 33365 36290 59210 66730 72580 112499 118420 126787 133460 206863 224998 253574 413726 449996 507148 562495 633935 827452 1034315 1124990 1267870 1274543 2068630 2249980 2535740 2549086 3930397 4137260 5098172 6372715 7860794 12745430 15721588 19651985 24216317 25490860 39303970 39510833 48432634 78607940 79021666 96865268 121081585 158043332 197554165 242163170 395108330 484326340 750705827 790216660 1501411654 3002823308 3753529135 7507058270 15014116540