Search a number
-
+
154836500080 = 24561127249833
BaseRepresentation
bin1001000000110011111…
…0010111111001110000
3112210122211012011201011
42100030332113321300
510014101121000310
6155044135320304
714120664351403
oct2201476277160
9483584164634
10154836500080
115a736193259
1226012520094
13117a7593522
1476cbc51d3a
1540634db78a
hex240cf97e70

154836500080 has 80 divisors (see below), whose sum is σ = 368778968064. Its totient is φ = 60439357440.

The previous prime is 154836500029. The next prime is 154836500087. The reversal of 154836500080 is 80005638451.

154836500080 is digitally balanced in base 2, because in such base 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 (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154836500087) 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 15 ways as a sum of consecutive naturals, for example, 494844 + ... + 744676.

Almost surely, 2154836500080 is an apocalyptic number.

154836500080 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 154836500080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184389484032).

154836500080 is an abundant number, since it is smaller than the sum of its proper divisors (213942467984).

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

154836500080 is a wasteful number, since it uses less digits than its factorization.

154836500080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250034 (or 250028 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 154836500080 in words is "one hundred fifty-four billion, eight hundred thirty-six million, five hundred thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 127 244 254 305 488 508 610 635 976 1016 1220 1270 2032 2440 2540 4880 5080 7747 10160 15494 30988 38735 61976 77470 123952 154940 249833 309880 499666 619760 999332 1249165 1998664 2498330 3997328 4996660 9993320 15239813 19986640 30479626 31728791 60959252 63457582 76199065 121918504 126915164 152398130 158643955 243837008 253830328 304796260 317287910 507660656 609592520 634575820 1219185040 1269151640 1935456251 2538303280 3870912502 7741825004 9677281255 15483650008 19354562510 30967300016 38709125020 77418250040 154836500080