Search a number
-
+
159702117408 = 2532554521241
BaseRepresentation
bin1001010010111011111…
…1001110110000100000
3120021012220201010220100
42110232333032300200
510104032220224113
6201211030342400
714352365412561
oct2245677166040
9507186633810
10159702117408
11618027555a9
1226b4babaa00
13120a1630832
147a30132168
15424a74ad73
hex252efcec20

159702117408 has 36 divisors (see below), whose sum is σ = 454152897198. Its totient is φ = 53234039040.

The previous prime is 159702117373. The next prime is 159702117493. The reversal of 159702117408 is 804711207951.

It is a happy number.

159702117408 is a `hidden beast` number, since 1 + 597 + 0 + 2 + 1 + 17 + 40 + 8 = 666.

159702117408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 134386761744 + 25315355664 = 366588^2 + 159108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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 5 ways as a sum of consecutive naturals, for example, 277260333 + ... + 277260908.

Almost surely, 2159702117408 is an apocalyptic number.

159702117408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

159702117408 is an abundant number, since it is smaller than the sum of its proper divisors (294450779790).

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

159702117408 is a wasteful number, since it uses less digits than its factorization.

159702117408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554521257 (or 554521246 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 159702117408 in words is "one hundred fifty-nine billion, seven hundred two million, one hundred seventeen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 554521241 1109042482 1663563723 2218084964 3327127446 4436169928 4990691169 6654254892 8872339856 9981382338 13308509784 17744679712 19962764676 26617019568 39925529352 53234039136 79851058704 159702117408