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1450798437648 = 2437139145321379
BaseRepresentation
bin10101000111001010010…
…100110101010100010000
312010200202122012210122110
4111013022110311110100
5142232213400001043
63030253153305320
7206550065151240
oct25071224652420
95120678183573
101450798437648
1150a30999436a
121b5211565240
13a6a6ac005c1
145030cdb9b20
1527b12b6db33
hex151ca535510

1450798437648 has 160 divisors (see below), whose sum is σ = 4317295897600. Its totient is φ = 411229260288.

The previous prime is 1450798437619. The next prime is 1450798437653. The reversal of 1450798437648 is 8467348970541.

It is a super-2 number, since 2×14507984376482 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 67850223 + ... + 67871601.

It is an arithmetic number, because the mean of its divisors is an integer number (26983099360).

Almost surely, 21450798437648 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 1450798437648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158647948800).

1450798437648 is an abundant number, since it is smaller than the sum of its proper divisors (2866497459952).

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

1450798437648 is a wasteful number, since it uses less digits than its factorization.

1450798437648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22989 (or 22983 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 1450798437648 in words is "one trillion, four hundred fifty billion, seven hundred ninety-eight million, four hundred thirty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 139 168 278 336 417 556 834 973 1112 1453 1668 1946 2224 2906 2919 3336 3892 4359 5812 5838 6672 7784 8718 10171 11624 11676 15568 17436 20342 21379 23248 23352 30513 34872 40684 42758 46704 61026 64137 69744 81368 85516 122052 128274 149653 162736 171032 201967 244104 256548 299306 342064 403934 448959 488208 513096 598612 605901 807868 897918 1026192 1197224 1211802 1413769 1615736 1795836 2394448 2423604 2827538 2971681 3231472 3591672 4241307 4847208 5655076 5943362 7183344 8482614 8915043 9694416 11310152 11886724 16965228 17830086 20801767 22620304 23773448 31063687 33930456 35660172 41603534 47546896 62127374 62405301 67860912 71320344 83207068 93191061 124254748 124810602 142640688 166414136 186382122 217445809 248509496 249621204 332828272 372764244 434891618 497018992 499242408 652337427 745528488 869783236 998484816 1304674854 1491056976 1739566472 2609349708 3479132944 4317852493 5218699416 8635704986 10437398832 12953557479 17271409972 25907114958 30224967451 34542819944 51814229916 60449934902 69085639888 90674902353 103628459832 120899869804 181349804706 207256919664 241799739608 362699609412 483599479216 725399218824 1450798437648