Search a number
-
+
113906285154 = 2344721170901
BaseRepresentation
bin110101000010101010…
…1111111101001100010
3101220000022202211020000
41222011111333221202
53331240002111104
6124154451000430
711141463306624
oct1520525775142
9356008684200
10113906285154
1144342145a52
121a0aab99116
13a98389883c
145727d00c14
152e6a00a639
hex1a8557fa62

113906285154 has 80 divisors (see below), whose sum is σ = 261904046976. Its totient is φ = 36984276000.

The previous prime is 113906285149. The next prime is 113906285159. The reversal of 113906285154 is 451582609311.

It is a happy number.

113906285154 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 0 + 628 + 5 + 15 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (113906285149) and next prime (113906285159).

It is not an unprimeable number, because it can be changed into a prime (113906285159) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1571104 + ... + 1642004.

Almost surely, 2113906285154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113906285154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130952023488).

113906285154 is an abundant number, since it is smaller than the sum of its proper divisors (147997761822).

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

113906285154 is a wasteful number, since it uses less digits than its factorization.

113906285154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71173 (or 71164 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 113906285154 in words is "one hundred thirteen billion, nine hundred six million, two hundred eighty-five thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 211 282 422 423 633 846 1266 1269 1899 2538 3798 3807 5697 7614 9917 11394 17091 19834 29751 34182 59502 70901 89253 141802 178506 212703 267759 425406 535518 638109 803277 1276218 1606554 1914327 3332347 3828654 5742981 6664694 9997041 11485962 14960111 19994082 29920222 29991123 44880333 59982246 89760666 89973369 134640999 179946738 269281998 269920107 403922997 539840214 703125217 807845994 1211768991 1406250434 2109375651 2423537982 4218751302 6328126953 12656253906 18984380859 37968761718 56953142577 113906285154