Search a number
-
+
488934305496 = 2332713129157803
BaseRepresentation
bin1110001110101101100…
…00010110111011011000
31201202000200011012002100
413013112300112323120
531002314140233441
61012340251003400
750216151011340
oct7072660267330
91652020135070
10488934305496
111793a073a42a
127a913139560
133714c731550
1419943731d20
15cab9418cb6
hex71d6c16ed8

488934305496 has 192 divisors, whose sum is σ = 1631071653120. Its totient is φ = 128847594240.

The previous prime is 488934305441. The next prime is 488934305543. The reversal of 488934305496 is 694503439884.

488934305496 is a `hidden beast` number, since 4 + 8 + 89 + 3 + 4 + 3 + 0 + 549 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8429731 + ... + 8487533.

It is an arithmetic number, because the mean of its divisors is an integer number (8495164860).

Almost surely, 2488934305496 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 488934305496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815535826560).

488934305496 is an abundant number, since it is smaller than the sum of its proper divisors (1142137347624).

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

488934305496 is a wasteful number, since it uses less digits than its factorization.

488934305496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59126 (or 59119 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

It can be divided in two parts, 488934 and 305496, that added together give a triangular number (794430 = T1260).

The spelling of 488934305496 in words is "four hundred eighty-eight billion, nine hundred thirty-four million, three hundred five thousand, four hundred ninety-six".