Search a number
-
+
8480331136 = 2717103157241
BaseRepresentation
bin1111110010111011…
…11001010110000000
3210220000020110100101
413321131321112000
5114331431044021
63521254532144
7420102424324
oct77135712600
923800213311
108480331136
113661a20332
121788067054
13a51bcc724
145a63bd984
1534977aa91
hex1f9779580

8480331136 has 128 divisors (see below), whose sum is σ = 18252336960. Its totient is φ = 3910533120.

The previous prime is 8480331133. The next prime is 8480331151. The reversal of 8480331136 is 6311330848.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×84803311362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8480331095 and 8480331104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8480331133) 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, 35187976 + ... + 35188216.

Almost surely, 28480331136 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 8480331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9126168480).

8480331136 is an abundant number, since it is smaller than the sum of its proper divisors (9772005824).

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

8480331136 is a wasteful number, since it uses less digits than its factorization.

8480331136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 8480331136 is about 92088.7134018062. The cubic root of 8480331136 is about 2039.2521877782.

The spelling of 8480331136 in words is "eight billion, four hundred eighty million, three hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 103 128 136 157 206 241 272 314 412 482 544 628 824 964 1088 1256 1648 1751 1928 2176 2512 2669 3296 3502 3856 4097 5024 5338 6592 7004 7712 8194 10048 10676 13184 14008 15424 16171 16388 20096 21352 24823 28016 30848 32342 32776 37837 42704 49646 56032 64684 65552 75674 85408 99292 112064 129368 131104 151348 170816 198584 224128 258736 262208 274907 302696 341632 397168 421991 517472 524416 549814 605392 643229 794336 843982 1034944 1099628 1210784 1286458 1588672 1687964 2069888 2199256 2421568 2572916 3177344 3375928 3897211 4398512 4843136 5145832 6751856 7794422 8797024 10291664 13503712 15588844 17594048 20583328 27007424 31177688 35188096 41166656 54014848 62355376 66252587 82333312 124710752 132505174 249421504 265010348 498843008 530020696 1060041392 2120082784 4240165568 8480331136