Search a number
-
+
153146839716 = 223213312437919
BaseRepresentation
bin1000111010100001000…
…0110101001010100100
3112122022001210112102200
42032220100311022210
510002121042332331
6154204340134500
714031056442033
oct2165020651244
9478261715380
10153146839716
1159a49442432
1225820697430
13115984c72b0
1475ab69c71a
153eb4ecb5e6
hex23a84352a4

153146839716 has 216 divisors, whose sum is σ = 440855775360. Its totient is φ = 44535899520.

The previous prime is 153146839679. The next prime is 153146839763. The reversal of 153146839716 is 617938641351.

153146839716 is a `hidden beast` number, since 1 + 531 + 4 + 6 + 8 + 3 + 97 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19335205 + ... + 19343123.

It is an arithmetic number, because the mean of its divisors is an integer number (2040998960).

Almost surely, 2153146839716 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 153146839716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220427887680).

153146839716 is an abundant number, since it is smaller than the sum of its proper divisors (287708935644).

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

153146839716 is a wasteful number, since it uses less digits than its factorization.

153146839716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8047 (or 8011 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 153146839716 in words is "one hundred fifty-three billion, one hundred forty-six million, eight hundred thirty-nine thousand, seven hundred sixteen".