Search a number
-
+
160164054200 = 23528324673911
BaseRepresentation
bin1001010100101010000…
…1011000010010111000
3120022102002220222001102
42111022201120102320
510111003444213300
6201324531310532
714400004666223
oct2251241302270
9508362828042
10160164054200
1161a1a484547
122705a74b448
1312146249807
147a7561a5ba
1542760960d5
hex254a8584b8

160164054200 has 96 divisors (see below), whose sum is σ = 377117112960. Its totient is φ = 63251913600.

The previous prime is 160164054191. The next prime is 160164054203. The reversal of 160164054200 is 2450461061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160164054203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40950245 + ... + 40954155.

It is an arithmetic number, because the mean of its divisors is an integer number (3928303260).

Almost surely, 2160164054200 is an apocalyptic number.

160164054200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160164054200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188558556480).

160164054200 is an abundant number, since it is smaller than the sum of its proper divisors (216953058760).

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

160164054200 is a wasteful number, since it uses less digits than its factorization.

160164054200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 160164054200 in words is "one hundred sixty billion, one hundred sixty-four million, fifty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 166 200 332 415 664 830 1660 2075 2467 3320 3911 4150 4934 7822 8300 9868 12335 15644 16600 19555 19736 24670 31288 39110 49340 61675 78220 97775 98680 123350 156440 195550 204761 246700 324613 391100 409522 493400 649226 782200 819044 1023805 1298452 1623065 1638088 2047610 2596904 3246130 4095220 5119025 6492260 8115325 8190440 9648437 10238050 12984520 16230650 19296874 20476100 32461300 38593748 40952200 48242185 64922600 77187496 96484370 192968740 241210925 385937480 482421850 800820271 964843700 1601640542 1929687400 3203281084 4004101355 6406562168 8008202710 16016405420 20020506775 32032810840 40041013550 80082027100 160164054200