Search a number
-
+
5178453048 = 2332674012677
BaseRepresentation
bin1001101001010100…
…01110110000111000
3111100220011200010100
410310222032300320
541101140444143
62213504115400
7242220060516
oct46452166070
914326150110
105178453048
11221811346a
121006305b60
13646b10602
14371a754b6
152049566d3
hex134a8ec38

5178453048 has 96 divisors (see below), whose sum is σ = 14275132560. Its totient is φ = 1695513600.

The previous prime is 5178453031. The next prime is 5178453073. The reversal of 5178453048 is 8403548715.

5178453048 is a `hidden beast` number, since 5 + 1 + 78 + 4 + 530 + 48 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5178452994 and 5178453012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1933086 + ... + 1935762.

Almost surely, 25178453048 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 5178453048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7137566280).

5178453048 is an abundant number, since it is smaller than the sum of its proper divisors (9096679512).

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

5178453048 is a wasteful number, since it uses less digits than its factorization.

5178453048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5178453048 is about 71961.4691901159. The cubic root of 5178453048 is about 1730.0819732394.

The spelling of 5178453048 in words is "five billion, one hundred seventy-eight million, four hundred fifty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 401 402 536 603 802 804 1203 1206 1604 1608 2406 2412 2677 3208 3609 4812 4824 5354 7218 8031 9624 10708 14436 16062 21416 24093 26867 28872 32124 48186 53734 64248 80601 96372 107468 161202 179359 192744 214936 241803 322404 358718 483606 538077 644808 717436 967212 1073477 1076154 1434872 1614231 1934424 2146954 2152308 3220431 3228462 4293908 4304616 6440862 6456924 8587816 9661293 12881724 12913848 19322586 25763448 38645172 71922959 77290344 143845918 215768877 287691836 431537754 575383672 647306631 863075508 1294613262 1726151016 2589226524 5178453048