Search a number
-
+
9155445520 = 2451364313691
BaseRepresentation
bin10001000011011010…
…10000001100010000
3212122001120211011211
420201231100030100
5122222243224040
64112252545504
7442611000664
oct104155201420
925561524154
109155445520
113979012801
121936182294
13b2ba379b0
1462bd1a8a4
15388b848ea
hex221b50310

9155445520 has 80 divisors (see below), whose sum is σ = 22961155392. Its totient is φ = 3374968320.

The previous prime is 9155445503. The next prime is 9155445529. The reversal of 9155445520 is 255445519.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (9155445529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661875 + ... + 675565.

Almost surely, 29155445520 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 9155445520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11480577696).

9155445520 is an abundant number, since it is smaller than the sum of its proper divisors (13805709872).

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

9155445520 is a wasteful number, since it uses less digits than its factorization.

9155445520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14360 (or 14354 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 40.

The square root of 9155445520 is about 95684.0923037889. The cubic root of 9155445520 is about 2091.9910758625.

The spelling of 9155445520 in words is "nine billion, one hundred fifty-five million, four hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 643 1040 1286 2572 3215 5144 6430 8359 10288 12860 13691 16718 25720 27382 33436 41795 51440 54764 66872 68455 83590 109528 133744 136910 167180 177983 219056 273820 334360 355966 547640 668720 711932 889915 1095280 1423864 1779830 2847728 3559660 7119320 8803313 14238640 17606626 35213252 44016565 70426504 88033130 114443069 140853008 176066260 228886138 352132520 457772276 572215345 704265040 915544552 1144430690 1831089104 2288861380 4577722760 9155445520