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498216960000 = 21533541753
BaseRepresentation
bin1110100000000000000…
…10111000000000000000
31202121222121002220012000
413100000002320000000
531130322020210000
61020513330304000
750665165200114
oct7200002700000
91677877086160
10498216960000
11182324538121
1280683a28000
1337c9b918516
141a1844c3744
15ce5e32a000
hex74000b8000

498216960000 has 1280 divisors, whose sum is σ = 1989988624800. Its totient is φ = 122683392000.

The previous prime is 498216959957. The next prime is 498216960029. The reversal of 498216960000 is 69612894.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9400319974 + ... + 9400320026.

Almost surely, 2498216960000 is an apocalyptic number.

498216960000 is a gapful number since it is divisible by the number (40) 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 498216960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994994312400).

498216960000 is an abundant number, since it is smaller than the sum of its proper divisors (1491771664800).

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

498216960000 is an frugal number, since it uses more digits than its factorization.

498216960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 498216960000 in words is "four hundred ninety-eight billion, two hundred sixteen million, nine hundred sixty thousand".