Search a number
-
+
488426537088 = 27347241131179
BaseRepresentation
bin1110001101110000111…
…11011000000010000000
31201200201021200212210000
413012320133120002000
531000244143141323
61012214031440000
750200444031100
oct7067037300200
91650637625700
10488426537088
11179160057516
127a7b1086000
133709b489579
14198d6117200
15ca89a68e43
hex71b87d8080

488426537088 has 960 divisors, whose sum is σ = 1755076831200. Its totient is φ = 134352691200.

The previous prime is 488426537077. The next prime is 488426537117. The reversal of 488426537088 is 880735624884.

488426537088 is a `hidden beast` number, since 4 + 88 + 426 + 53 + 7 + 0 + 88 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2728639783 + ... + 2728639961.

Almost surely, 2488426537088 is an apocalyptic number.

488426537088 is a gapful number since it is divisible by the number (48) 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 488426537088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877538415600).

488426537088 is an abundant number, since it is smaller than the sum of its proper divisors (1266650294112).

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

488426537088 is a wasteful number, since it uses less digits than its factorization.

488426537088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 488426537088 in words is "four hundred eighty-eight billion, four hundred twenty-six million, five hundred thirty-seven thousand, eighty-eight".