Search a number
-
+
153122471656 = 23711643386587
BaseRepresentation
bin1000111010011011001…
…1110111111011101000
3112122020100221111201221
42032212303313323220
510002043323043111
6154202105551424
714030342351110
oct2164663677350
9478210844657
10153122471656
1159a36709340
12258144a5574
131159344491b
1475a8358040
153eb2cb6371
hex23a6cf7ee8

153122471656 has 64 divisors (see below), whose sum is σ = 358506247680. Its totient is φ = 59565170880.

The previous prime is 153122471647. The next prime is 153122471669. The reversal of 153122471656 is 656174221351.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202795 + ... + 589381.

It is an arithmetic number, because the mean of its divisors is an integer number (5601660120).

Almost surely, 2153122471656 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 153122471656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179253123840).

153122471656 is an abundant number, since it is smaller than the sum of its proper divisors (205383776024).

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

153122471656 is a wasteful number, since it uses less digits than its factorization.

153122471656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387254 (or 387250 counting only the distinct ones).

The product of its digits is 302400, while the sum is 43.

The spelling of 153122471656 in words is "one hundred fifty-three billion, one hundred twenty-two million, four hundred seventy-one thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 643 1286 2572 4501 5144 7073 9002 14146 18004 28292 36008 49511 56584 99022 198044 386587 396088 773174 1546348 2706109 3092696 4252457 5412218 8504914 10824436 17009828 21648872 29767199 34019656 59534398 119068796 238137592 248575441 497150882 994301764 1740028087 1988603528 2734329851 3480056174 5468659702 6960112348 10937319404 13920224696 19140308957 21874638808 38280617914 76561235828 153122471656