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494690932512 = 25327281873247
BaseRepresentation
bin1110011001011011110…
…00001001011100100000
31202021212212021010210100
413030231320021130200
531101111334320022
61015131411302400
750511621355440
oct7145570113440
91667785233710
10494690932512
11180885153517
127ba5abaaa00
133785926811a
1419d2c0ac120
15cd049cb1ac
hex732de09720

494690932512 has 144 divisors (see below), whose sum is σ = 1613468892672. Its totient is φ = 140837114880.

The previous prime is 494690932457. The next prime is 494690932531. The reversal of 494690932512 is 215239096494.

494690932512 is a `hidden beast` number, since 4 + 9 + 4 + 6 + 90 + 9 + 32 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129873 + ... + 1003119.

It is an arithmetic number, because the mean of its divisors is an integer number (11204645088).

Almost surely, 2494690932512 is an apocalyptic number.

494690932512 is a gapful number since it is divisible by the number (42) 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 494690932512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806734446336).

494690932512 is an abundant number, since it is smaller than the sum of its proper divisors (1118777960160).

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

494690932512 is a wasteful number, since it uses less digits than its factorization.

494690932512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873551 (or 873540 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 494690932512 in words is "four hundred ninety-four billion, six hundred ninety million, nine hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 281 288 336 504 562 672 843 1008 1124 1686 1967 2016 2248 2529 3372 3934 4496 5058 5901 6744 7868 8992 10116 11802 13488 15736 17703 20232 23604 26976 31472 35406 40464 47208 62944 70812 80928 94416 141624 188832 283248 566496 873247 1746494 2619741 3492988 5239482 6112729 6985976 7859223 10478964 12225458 13971952 15718446 18338187 20957928 24450916 27943904 31436892 36676374 41915856 48901832 55014561 62873784 73352748 83831712 97803664 110029122 125747568 146705496 195607328 220058244 245382407 251495136 293410992 440116488 490764814 586821984 736147221 880232976 981529628 1472294442 1717676849 1760465952 1963059256 2208441663 2944588884 3435353698 3926118512 4416883326 5153030547 5889177768 6870707396 7852237024 8833766652 10306061094 11778355536 13741414792 15459091641 17667533304 20612122188 23556711072 27482829584 30918183282 35335066608 41224244376 54965659168 61836366564 70670133216 82448488752 123672733128 164896977504 247345466256 494690932512