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497062638554112 = 210331959971011637
BaseRepresentation
bin111000100000100110110101…
…0000000001000110000000000
32102011221201112220210121112000
41301001031222000020300000
51010122333240432212422
64521055231311504000
7206461406361553011
oct16101155200106000
92364851486717460
10497062638554112
1113441a099081994
12478ba09bb28000
1318447a621425b7
148aa5d62613008
153c6eb173a5cac
hex1c4136a008c00

497062638554112 has 1408 divisors, whose sum is σ = 1608789506688000. Its totient is φ = 151111493222400.

The previous prime is 497062638554101. The next prime is 497062638554191. The reversal of 497062638554112 is 211455836260794.

It is a happy number.

497062638554112 is a `hidden beast` number, since 4 + 9 + 7 + 0 + 6 + 2 + 6 + 3 + 85 + 541 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 497062638554112.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 303642417358 + ... + 303642418994.

It is a 1-persistent number, because it is pandigital, but 2⋅497062638554112 = 994125277108224 is not.

Almost surely, 2497062638554112 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 497062638554112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804394753344000).

497062638554112 is an abundant number, since it is smaller than the sum of its proper divisors (1111726868133888).

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

497062638554112 is a wasteful number, since it uses less digits than its factorization.

497062638554112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 497062638554112 in words is "four hundred ninety-seven trillion, sixty-two billion, six hundred thirty-eight million, five hundred fifty-four thousand, one hundred twelve".