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1929147136 = 2877913627
BaseRepresentation
bin111001011111100…
…0111001100000000
311222110000211100221
41302333013030000
512422330202021
6515232152424
765543323450
oct16277071400
94873024327
101929147136
118aaa53884
1245a098714
1324989a5a7
141442d3d60
15b4569241
hex72fc7300

1929147136 has 72 divisors (see below), whose sum is σ = 4456901120. Its totient is φ = 816251904.

The previous prime is 1929147091. The next prime is 1929147137. The reversal of 1929147136 is 6317419291.

It is a junction number, because it is equal to n+sod(n) for n = 1929147092 and 1929147101.

It is not an unprimeable number, because it can be changed into a prime (1929147137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134755 + ... + 148381.

Almost surely, 21929147136 is an apocalyptic number.

1929147136 is a gapful number since it is divisible by the number (16) 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 1929147136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228450560).

1929147136 is an abundant number, since it is smaller than the sum of its proper divisors (2527753984).

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

1929147136 is an equidigital number, since it uses as much as digits as its factorization.

1929147136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13729 (or 13715 counting only the distinct ones).

The product of its digits is 81648, while the sum is 43.

The square root of 1929147136 is about 43922.0575110047. The cubic root of 1929147136 is about 1244.8636455454.

The spelling of 1929147136 in words is "one billion, nine hundred twenty-nine million, one hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 128 158 224 256 316 448 553 632 896 1106 1264 1792 2212 2528 4424 5056 8848 10112 13627 17696 20224 27254 35392 54508 70784 95389 109016 141568 190778 218032 381556 436064 763112 872128 1076533 1526224 1744256 2153066 3052448 3488512 4306132 6104896 7535731 8612264 12209792 15071462 17224528 24419584 30142924 34449056 60285848 68898112 120571696 137796224 241143392 275592448 482286784 964573568 1929147136