Search a number
-
+
154165390000 = 2454101152639
BaseRepresentation
bin1000111110010011111…
…0010010101010110000
3112201221001101020202021
42033210332102222300
510011212314440000
6154453403201224
714065235123266
oct2174476225260
9481831336667
10154165390000
115a421386326
1225a65816214
13116cb52aa7b
147666a78436
15402462411a
hex23e4f92ab0

154165390000 has 100 divisors (see below), whose sum is σ = 376947838080. Its totient is φ = 61055200000.

The previous prime is 154165389953. The next prime is 154165390009. The reversal of 154165390000 is 93561451.

154165390000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (154165390009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 933681 + ... + 1086319.

Almost surely, 2154165390000 is an apocalyptic number.

154165390000 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 154165390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188473919040).

154165390000 is an abundant number, since it is smaller than the sum of its proper divisors (222782448080).

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

154165390000 is a wasteful number, since it uses less digits than its factorization.

154165390000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152768 (or 152747 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The spelling of 154165390000 in words is "one hundred fifty-four billion, one hundred sixty-five million, three hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 625 808 1000 1010 1250 1616 2000 2020 2500 2525 4040 5000 5050 8080 10000 10100 12625 20200 25250 40400 50500 63125 101000 126250 152639 202000 252500 305278 505000 610556 763195 1010000 1221112 1526390 2442224 3052780 3815975 6105560 7631950 12211120 15263900 15416539 19079875 30527800 30833078 38159750 61055600 61666156 76319500 77082695 95399375 123332312 152639000 154165390 190798750 246664624 305278000 308330780 381597500 385413475 616661560 763195000 770826950 1233323120 1526390000 1541653900 1927067375 3083307800 3854134750 6166615600 7708269500 9635336875 15416539000 19270673750 30833078000 38541347500 77082695000 154165390000