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5151553904 = 247192718933
BaseRepresentation
bin1001100110000111…
…00111100101110000
3111022000120001102202
410303003213211300
541022244211104
62211103402332
7241442325410
oct46303474560
914260501382
105151553904
112203a10772
12bb92b33a8
13641382b63
1436c272640
152023e151e
hex1330e7970

5151553904 has 80 divisors (see below), whose sum is σ = 12053038080. Its totient is φ = 2083656960.

The previous prime is 5151553903. The next prime is 5151553931. The reversal of 5151553904 is 4093551515.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5151553903) 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, 572222 + ... + 581154.

It is an arithmetic number, because the mean of its divisors is an integer number (150662976).

Almost surely, 25151553904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5151553904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026519040).

5151553904 is an abundant number, since it is smaller than the sum of its proper divisors (6901484176).

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

5151553904 is a wasteful number, since it uses less digits than its factorization.

5151553904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9238 (or 9232 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 38.

The square root of 5151553904 is about 71774.3262176664. The cubic root of 5151553904 is about 1727.0811712547.

The spelling of 5151553904 in words is "five billion, one hundred fifty-one million, five hundred fifty-three thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 271 304 532 542 1064 1084 1897 2128 2168 3794 4336 5149 7588 8933 10298 15176 17866 20596 30352 35732 36043 41192 62531 71464 72086 82384 125062 142928 144172 169727 250124 288344 339454 500248 576688 678908 1000496 1188089 1357816 2376178 2420843 2715632 4752356 4841686 9504712 9683372 16945901 19009424 19366744 33891802 38733488 45996017 67783604 91992034 135567208 183984068 271134416 321972119 367968136 643944238 735936272 1287888476 2575776952 5151553904