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498952109568 = 29311413731931
BaseRepresentation
bin1110100001010111101…
…11001111111000000000
31202200212211102100210210
413100223313033320000
531133323220001233
61021114311154120
751022332645243
oct7205367177000
91680784370723
10498952109568
11182671504950
128084a075940
1338088013773
141a213dab25a
15cea3b42163
hex742bdcfe00

498952109568 has 320 divisors, whose sum is σ = 1490201121024. Its totient is φ = 147038208000.

The previous prime is 498952109549. The next prime is 498952109573. The reversal of 498952109568 is 865901259894.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 498952109499 and 498952109508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258389563 + ... + 258391493.

Almost surely, 2498952109568 is an apocalyptic number.

498952109568 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 498952109568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745100560512).

498952109568 is an abundant number, since it is smaller than the sum of its proper divisors (991249011456).

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

498952109568 is a wasteful number, since it uses less digits than its factorization.

498952109568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 66.

The spelling of 498952109568 in words is "four hundred ninety-eight billion, nine hundred fifty-two million, one hundred nine thousand, five hundred sixty-eight".