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12693151380 = 223571371137239
BaseRepresentation
bin10111101001001001…
…00001111010010100
31012202121101220021210
423310210201322110
5201443421321010
65455310141420
7626356002150
oct136444417224
935677356253
1012693151380
115423a53558
122562ab1870
131273946880
14885ad2060
154e453db20
hex2f4921e94

12693151380 has 384 divisors, whose sum is σ = 44869386240. Its totient is φ = 2610155520.

The previous prime is 12693151357. The next prime is 12693151399. The reversal of 12693151380 is 8315139621.

It is a super-2 number, since 2×126931513802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53109301 + ... + 53109539.

It is an arithmetic number, because the mean of its divisors is an integer number (116847360).

Almost surely, 212693151380 is an apocalyptic number.

12693151380 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 12693151380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22434693120).

12693151380 is an abundant number, since it is smaller than the sum of its proper divisors (32176234860).

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

12693151380 is a wasteful number, since it uses less digits than its factorization.

12693151380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 12693151380 in words is "twelve billion, six hundred ninety-three million, one hundred fifty-one thousand, three hundred eighty".