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12648940540 = 22531197103561
BaseRepresentation
bin10111100011110111…
…11000001111111100
31012122112012202102021
423301323320033330
5201401112044130
65451050405524
7625311135445
oct136173701774
935575182367
1012648940540
115400aa7275
1225501308a4
131267737502
1487dca42cc
154e070937a
hex2f1ef83fc

12648940540 has 48 divisors (see below), whose sum is σ = 27559090944. Its totient is φ = 4871462400.

The previous prime is 12648940537. The next prime is 12648940543. The reversal of 12648940540 is 4504984621.

It is an interprime number because it is at equal distance from previous prime (12648940537) and next prime (12648940543).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12648940543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70360 + ... + 173920.

It is an arithmetic number, because the mean of its divisors is an integer number (574147728).

Almost surely, 212648940540 is an apocalyptic number.

12648940540 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 12648940540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13779545472).

12648940540 is an abundant number, since it is smaller than the sum of its proper divisors (14910150404).

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

12648940540 is a wasteful number, since it uses less digits than its factorization.

12648940540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103798 (or 103796 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 12648940540 in words is "twelve billion, six hundred forty-eight million, nine hundred forty thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 197 310 394 620 788 985 1970 3940 6107 12214 24428 30535 61070 103561 122140 207122 414244 517805 1035610 2071220 3210391 6420782 12841564 16051955 20401517 32103910 40803034 64207820 81606068 102007585 204015170 408030340 632447027 1264894054 2529788108 3162235135 6324470270 12648940540