Search a number
-
+
3151335152 = 247174361631
BaseRepresentation
bin1011101111010101…
…1000111011110000
322010121210102010202
42323311120323300
522423220211102
61240412014332
7141043623020
oct27365307360
98117712122
103151335152
111377934819
1273b4613a8
133b2b60074
1421c75ba80
151369d8e02
hexbbd58ef0

3151335152 has 160 divisors (see below), whose sum is σ = 7696364544. Its totient is φ = 1219276800.

The previous prime is 3151335149. The next prime is 3151335227. The reversal of 3151335152 is 2515331513.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4993877 + ... + 4994507.

Almost surely, 23151335152 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 3151335152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848182272).

3151335152 is an abundant number, since it is smaller than the sum of its proper divisors (4545029392).

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

3151335152 is a wasteful number, since it uses less digits than its factorization.

3151335152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 761 counting only the distinct ones).

The product of its digits is 6750, while the sum is 29.

The square root of 3151335152 is about 56136.7540208730. The cubic root of 3151335152 is about 1466.1042902678.

Adding to 3151335152 its reverse (2515331513), we get a palindrome (5666666665).

The spelling of 3151335152 in words is "three billion, one hundred fifty-one million, three hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 43 56 61 68 86 112 119 122 136 172 238 244 272 301 344 427 476 488 602 631 688 731 854 952 976 1037 1204 1262 1462 1708 1904 2074 2408 2524 2623 2924 3416 4148 4417 4816 5048 5117 5246 5848 6832 7259 8296 8834 10096 10234 10492 10727 11696 14518 16592 17668 18361 20468 20984 21454 27133 29036 35336 36722 38491 40936 41968 42908 44591 54266 58072 70672 73444 75089 76982 81872 85816 89182 108532 116144 146888 150178 153964 171632 178364 189931 217064 269437 293776 300356 307928 312137 356728 379862 434128 461261 538874 600712 615856 624274 654347 713456 759724 922522 1077748 1201424 1248548 1308694 1519448 1655113 1845044 2155496 2497096 2617388 3038896 3228827 3310226 3690088 4310992 4580429 4994192 5234776 6457654 6620452 7380176 9160858 10469552 11585791 12915308 13240904 18321716 23171582 25830616 26481808 28136921 36643432 46343164 51661232 56273842 73286864 92686328 112547684 185372656 196958447 225095368 393916894 450190736 787833788 1575667576 3151335152