Search a number
-
+
554102948256 = 253111343991943
BaseRepresentation
bin10000001000000110001…
…11000000000110100000
31221222020101110020202220
420010003013000012200
533034300323321011
61102315033111040
755014121230354
oct10040307000640
91858211406686
10554102948256
111a3aa273a280
128b47bb58480
1340336c45920
141cb66825464
15e6307d6506
hex81031c01a0

554102948256 has 192 divisors, whose sum is σ = 1712718120960. Its totient is φ = 154639088640.

The previous prime is 554102948251. The next prime is 554102948261. The reversal of 554102948256 is 652849201455.

It is an interprime number because it is at equal distance from previous prime (554102948251) and next prime (554102948261).

It is a junction number, because it is equal to n+sod(n) for n = 554102948199 and 554102948208.

It is not an unprimeable number, because it can be changed into a prime (554102948251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5980621 + ... + 6072563.

It is an arithmetic number, because the mean of its divisors is an integer number (8920406880).

Almost surely, 2554102948256 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 554102948256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856359060480).

554102948256 is an abundant number, since it is smaller than the sum of its proper divisors (1158615172704).

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

554102948256 is a wasteful number, since it uses less digits than its factorization.

554102948256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92419 (or 92411 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 554102948256 in words is "five hundred fifty-four billion, one hundred two million, nine hundred forty-eight thousand, two hundred fifty-six".