Search a number
-
+
153776471056 = 24131743488821
BaseRepresentation
bin1000111100110111001…
…0101011110000010000
3112200220221120010020221
42033031302223300100
510004413234033211
6154351031242424
714052503302645
oct2171562536020
9480827503227
10153776471056
115a24189980a
1225977519414
1311668a99110
14762b159dcc
1540003edc71
hex23cdcabc10

153776471056 has 40 divisors (see below), whose sum is σ = 339734677464. Its totient is φ = 66798827520.

The previous prime is 153776471027. The next prime is 153776471059. The reversal of 153776471056 is 650174677351.

It can be written as a sum of positive squares in 4 ways, for example, as 36716691456 + 117059779600 = 191616^2 + 342140^2 .

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 153776470994 and 153776471012.

It is not an unprimeable number, because it can be changed into a prime (153776471059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21740875 + ... + 21747946.

Almost surely, 2153776471056 is an apocalyptic number.

153776471056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

153776471056 is an abundant number, since it is smaller than the sum of its proper divisors (185958206408).

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

153776471056 is a wasteful number, since it uses less digits than its factorization.

153776471056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43488859 (or 43488853 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 52.

The spelling of 153776471056 in words is "one hundred fifty-three billion, seven hundred seventy-six million, four hundred seventy-one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 43488821 86977642 173955284 347910568 565354673 695821136 739309957 1130709346 1478619914 2261418692 2957239828 4522837384 5914479656 9045674768 9611029441 11828959312 19222058882 38444117764 76888235528 153776471056