Search a number
-
+
12429123894132 = 223112947611132507
BaseRepresentation
bin1011010011011110000110…
…0000111011101101110100
31122000012202000101120211220
42310313201200323231310
53112114321204103012
642233505524230340
72421655163641611
oct264674140735564
948005660346756
1012429123894132
113a621864589a0
121488a2053b3b0
136c20a4a4437a
1430d803acd508
1516849b58608c
hexb4de183bb74

12429123894132 has 192 divisors, whose sum is σ = 33973065584640. Its totient is φ = 3500802547200.

The previous prime is 12429123894079. The next prime is 12429123894283. The reversal of 12429123894132 is 23149832192421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10408623 + ... + 11541129.

It is an arithmetic number, because the mean of its divisors is an integer number (176943049920).

Almost surely, 212429123894132 is an apocalyptic number.

12429123894132 is a gapful number since it is divisible by the number (12) 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 12429123894132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16986532792320).

12429123894132 is an abundant number, since it is smaller than the sum of its proper divisors (21543941690508).

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

12429123894132 is a wasteful number, since it uses less digits than its factorization.

12429123894132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132662 (or 1132660 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The spelling of 12429123894132 in words is "twelve trillion, four hundred twenty-nine billion, one hundred twenty-three million, eight hundred ninety-four thousand, one hundred thirty-two".