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492014334464 = 2931181117117
BaseRepresentation
bin1110010100011100101…
…01101111001000000000
31202000222022202212112022
413022032111233020000
531030121132200324
61014010034421012
750355400560542
oct7121625571000
91660868685468
10492014334464
1117a7312a0814
127b432731768
13375208863b3
1419b5680b692
15cbe9a1a05e
hex728e56f200

492014334464 has 80 divisors (see below), whose sum is σ = 1015399224576. Its totient is φ = 237926092800.

The previous prime is 492014334419. The next prime is 492014334467. The reversal of 492014334464 is 464433410294.

It is not an unprimeable number, because it can be changed into a prime (492014334467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28735634 + ... + 28752750.

Almost surely, 2492014334464 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 492014334464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507699612288).

492014334464 is an abundant number, since it is smaller than the sum of its proper divisors (523384890112).

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

492014334464 is a wasteful number, since it uses less digits than its factorization.

492014334464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18977 (or 18961 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 44.

The spelling of 492014334464 in words is "four hundred ninety-two billion, fourteen million, three hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1811 1984 3622 3968 7244 7936 14488 15872 17117 28976 34234 56141 57952 68468 112282 115904 136936 224564 231808 273872 449128 463616 530627 547744 898256 927232 1061254 1095488 1796512 2122508 2190976 3593024 4245016 4381952 7186048 8490032 8763904 14372096 16980064 28744192 30998887 33960128 61997774 67920256 123995548 135840512 247991096 271681024 495982192 960965497 991964384 1921930994 1983928768 3843861988 3967857536 7687723976 7935715072 15375447952 15871430144 30750895904 61501791808 123003583616 246007167232 492014334464