Search a number
-
+
152663560047 = 32192382147279
BaseRepresentation
bin1000111000101101110…
…1010000111101101111
3112121001101102101100200
42032023131100331233
510000123332410142
6154044353524543
714013100564305
oct2161335207557
9477041371320
10152663560047
1159820666249
1225706873753
131151c3478ab
14756341a275
153e8786764c
hex238b750f6f

152663560047 has 48 divisors (see below), whose sum is σ = 242512358400. Its totient is φ = 92112672960.

The previous prime is 152663560043. The next prime is 152663560061. The reversal of 152663560047 is 740065366251.

152663560047 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 6 + 35 + 600 + 4 + 7 = 666.

It is not a de Polignac number, because 152663560047 - 22 = 152663560043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 152663559984 and 152663560011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152663560043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3205354 + ... + 3252632.

It is an arithmetic number, because the mean of its divisors is an integer number (5052340800).

Almost surely, 2152663560047 is an apocalyptic number.

152663560047 is a deficient number, since it is larger than the sum of its proper divisors (89848798353).

152663560047 is a wasteful number, since it uses less digits than its factorization.

152663560047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48148 (or 48145 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 152663560047 in words is "one hundred fifty-two billion, six hundred sixty-three million, five hundred sixty thousand, forty-seven".

Divisors: 1 3 9 19 23 57 69 171 207 437 821 1311 2463 3933 7389 15599 18883 46797 47279 56649 140391 141837 169947 358777 425511 898301 1076331 1087417 2694903 3228993 3262251 8084709 9786753 20660923 38816059 61982769 116448177 185948307 349344531 737505121 892769357 2212515363 2678308071 6637546089 8034924213 16962617783 50887853349 152663560047