Search a number
-
+
5155336942080 = 293513217317537
BaseRepresentation
bin100101100000101001000…
…0001101111001000000000
3200020211211021222101111020
41023001102001233020000
51133431112224121310
614544155030145440
71041314024661243
oct113012201571000
920224737871436
105155336942080
111708403339246
126b317bab2280
132b51b9235b00
1413b73bc6725a
158e17eb12170
hex4b05206f200

5155336942080 has 960 divisors, whose sum is σ = 19508172254208. Its totient is φ = 1155677552640.

The previous prime is 5155336942039. The next prime is 5155336942087. The reversal of 5155336942080 is 802496335515.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (5155336942087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 684000072 + ... + 684007608.

Almost surely, 25155336942080 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 5155336942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9754086127104).

5155336942080 is an abundant number, since it is smaller than the sum of its proper divisors (14352835312128).

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

5155336942080 is a wasteful number, since it uses less digits than its factorization.

5155336942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7637 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 5155336942080 in words is "five trillion, one hundred fifty-five billion, three hundred thirty-six million, nine hundred forty-two thousand, eighty".