Search a number
-
+
153221421204 = 223837157793
BaseRepresentation
bin1000111010110010110…
…1010101100010010100
3112122111021010200000000
42032230231111202110
510002244140434304
6154220002451300
714032653406545
oct2165455254224
9478437120000
10153221421204
1159a87552625
1225841663b30
13115aaaab257
1475b75544cc
153ebb80e939
hex23acb55894

153221421204 has 108 divisors (see below), whose sum is σ = 413058300564. Its totient is φ = 49693118976.

The previous prime is 153221421187. The next prime is 153221421293. The reversal of 153221421204 is 402124122351.

153221421204 is a `hidden beast` number, since 1 + 5 + 32 + 2 + 1 + 421 + 204 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110290410000 + 42931011204 = 332100^2 + 207198^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 892132 + ... + 1049924.

Almost surely, 2153221421204 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 153221421204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206529150282).

153221421204 is an abundant number, since it is smaller than the sum of its proper divisors (259836879360).

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

153221421204 is an equidigital number, since it uses as much as digits as its factorization.

153221421204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157858 (or 157835 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 153221421204 its reverse (402124122351), we get a palindrome (555345543555).

The spelling of 153221421204 in words is "one hundred fifty-three billion, two hundred twenty-one million, four hundred twenty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 729 972 999 1332 1458 1998 2187 2916 2997 3996 4374 5994 6561 8748 8991 11988 13122 17982 26244 26973 35964 53946 80919 107892 157793 161838 242757 315586 323676 473379 485514 631172 946758 971028 1420137 1893516 2840274 4260411 5680548 5838341 8520822 11676682 12781233 17041644 17515023 23353364 25562466 35030046 38343699 51124932 52545069 70060092 76687398 105090138 115031097 153374796 157635207 210180276 230062194 315270414 345093291 460124388 472905621 630540828 690186582 945811242 1035279873 1380373164 1418716863 1891622484 2070559746 2837433726 4141119492 4256150589 5674867452 8512301178 12768451767 17024602356 25536903534 38305355301 51073807068 76610710602 153221421204