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6450990504 = 2337192387869
BaseRepresentation
bin1100000001000001…
…00100110110101000
3121122120200021100020
412000200210312220
5101202423144004
62544043040440
7315601341330
oct60040446650
917576607306
106450990504
112810463712
121300510120
137ba65155a
14452a880c0
1527b51e8d9
hex180824da8

6450990504 has 128 divisors (see below), whose sum is σ = 20245248000. Its totient is φ = 1670194944.

The previous prime is 6450990473. The next prime is 6450990541. The reversal of 6450990504 is 4050990546.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29482 + ... + 117350.

It is an arithmetic number, because the mean of its divisors is an integer number (158166000).

Almost surely, 26450990504 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 6450990504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10122624000).

6450990504 is an abundant number, since it is smaller than the sum of its proper divisors (13794257496).

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

6450990504 is a wasteful number, since it uses less digits than its factorization.

6450990504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87927 (or 87923 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 6450990504 is about 80318.0583928670. The cubic root of 6450990504 is about 1861.5532660565.

Adding to 6450990504 its sum of digits (42), we get a palindrome (6450990546).

The spelling of 6450990504 in words is "six billion, four hundred fifty million, nine hundred ninety thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 23 24 28 38 42 46 56 57 69 76 84 92 114 133 138 152 161 168 184 228 266 276 322 399 437 456 483 532 552 644 798 874 966 1064 1288 1311 1596 1748 1932 2622 3059 3192 3496 3864 5244 6118 9177 10488 12236 18354 24472 36708 73416 87869 175738 263607 351476 527214 615083 702952 1054428 1230166 1669511 1845249 2020987 2108856 2460332 3339022 3690498 4041974 4920664 5008533 6062961 6678044 7380996 8083948 10017066 11686577 12125922 13356088 14146909 14761992 16167896 20034132 23373154 24251844 28293818 35059731 38398753 40068264 42440727 46746308 48503688 56587636 70119462 76797506 84881454 93492616 113175272 115196259 140238924 153595012 169762908 230392518 268791271 280477848 307190024 339525816 460785036 537582542 806373813 921570072 1075165084 1612747626 2150330168 3225495252 6450990504