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499890713856 = 2831675217481
BaseRepresentation
bin1110100011000111100…
…11101111010100000000
31202210022020120101211120
413101203303233110000
531142234010320411
61021351400512240
751054520650012
oct7214363572400
91683266511746
10499890713856
11183003304176
1280a7047b680
13381a7605611
141a2a28d61b2
15d00b247106
hex7463cef500

499890713856 has 144 divisors (see below), whose sum is σ = 1341153168768. Its totient is φ = 165292441600.

The previous prime is 499890713827. The next prime is 499890713857. The reversal of 499890713856 is 658317098994.

It is a super-2 number, since 2×4998907138562 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499890713857) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 66817636 + ... + 66825116.

It is an arithmetic number, because the mean of its divisors is an integer number (9313563672).

Almost surely, 2499890713856 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 499890713856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670576584384).

499890713856 is an abundant number, since it is smaller than the sum of its proper divisors (841262454912).

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

499890713856 is a wasteful number, since it uses less digits than its factorization.

499890713856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8188 (or 8174 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 69.

The spelling of 499890713856 in words is "four hundred ninety-nine billion, eight hundred ninety million, seven hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 256 334 384 501 521 668 768 1002 1042 1336 1563 2004 2084 2672 3126 4008 4168 5344 6252 7481 8016 8336 10688 12504 14962 16032 16672 21376 22443 25008 29924 32064 33344 42752 44886 50016 59848 64128 66688 87007 89772 100032 119696 128256 133376 174014 179544 200064 239392 261021 348028 359088 400128 478784 522042 696056 718176 957568 1044084 1249327 1392112 1436352 1915136 2088168 2498654 2784224 2872704 3747981 3897601 4176336 4997308 5568448 5745408 7495962 7795202 8352672 9994616 11136896 11692803 14991924 15590404 16705344 19989232 22273792 23385606 29983848 31180808 33410688 39978464 46771212 59967696 62361616 66821376 79956928 93542424 119935392 124723232 159913856 187084848 239870784 249446464 319827712 374169696 479741568 498892928 650899367 748339392 959483136 997785856 1301798734 1496678784 1952698101 2603597468 2993357568 3905396202 5207194936 7810792404 10414389872 15621584808 20828779744 31243169616 41657559488 62486339232 83315118976 124972678464 166630237952 249945356928 499890713856