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492064260048 = 2434379679213
BaseRepresentation
bin1110010100100010101…
…00001011111111010000
31202001002210201100120000
413022101110023333100
531030221422310143
61014015020450000
750356545125304
oct7122124137720
91661083640500
10492064260048
1117a7574a0629
127b4473a9900
133752b01696a
1419b5d2c5d04
15cbee0ccbd3
hex729150bfd0

492064260048 has 50 divisors (see below), whose sum is σ = 1424176731714. Its totient is φ = 164021419584.

The previous prime is 492064260019. The next prime is 492064260073. The reversal of 492064260048 is 840062460294.

492064260048 is a `hidden beast` number, since 492 + 0 + 64 + 2 + 60 + 0 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 305844393024 + 186219867024 = 553032^2 + 431532^2 .

It is a junction number, because it is equal to n+sod(n) for n = 492064259985 and 492064260012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 189838311 + ... + 189840902.

Almost surely, 2492064260048 is an apocalyptic number.

492064260048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

492064260048 is an abundant number, since it is smaller than the sum of its proper divisors (932112471666).

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

492064260048 is a wasteful number, since it uses less digits than its factorization.

492064260048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379679233 (or 379679218 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 492064260048 in words is "four hundred ninety-two billion, sixty-four million, two hundred sixty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 379679213 759358426 1139037639 1518716852 2278075278 3037433704 3417112917 4556150556 6074867408 6834225834 9112301112 10251338751 13668451668 18224602224 20502677502 27336903336 30754016253 41005355004 54673806672 61508032506 82010710008 123016065012 164021420016 246032130024 492064260048