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452828480016 = 243113739675843
BaseRepresentation
bin1101001011011101010…
…11100100001000010000
31121021211101200012202210
412211232223210020100
524404343042330031
6544005421512120
744500340400123
oct6455653441020
91537741605683
10452828480016
11165052965340
1273917412640
133391739a483
1417cba40c3ba
15bba4751746
hex696eae4210

452828480016 has 160 divisors (see below), whose sum is σ = 1311198363648. Its totient is φ = 133455582720.

The previous prime is 452828479933. The next prime is 452828480029. The reversal of 452828480016 is 610084828254.

It is a super-2 number, since 2×4528284800162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 77496391 + ... + 77502233.

Almost surely, 2452828480016 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 452828480016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655599181824).

452828480016 is an abundant number, since it is smaller than the sum of its proper divisors (858369883632).

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

452828480016 is a wasteful number, since it uses less digits than its factorization.

452828480016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9869 (or 9863 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 452828480016 in words is "four hundred fifty-two billion, eight hundred twenty-eight million, four hundred eighty thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 3967 4884 5843 6512 7934 9768 11686 11901 15868 17529 19536 23372 23802 31736 35058 43637 46744 47604 63472 64273 70116 87274 93488 95208 128546 130911 140232 146779 174548 190416 192819 216191 257092 261822 280464 293558 349096 385638 432382 440337 514184 523644 587116 648573 698192 771276 864764 880674 1028368 1047288 1174232 1297146 1542552 1614569 1729528 1761348 2094576 2348464 2378101 2594292 3085104 3229138 3459056 3522696 4756202 4843707 5188584 6458276 7045392 7134303 9512404 9687414 10377168 12916552 14268606 19024808 19374828 23179181 25833104 28537212 38049616 38749656 46358362 57074424 69537543 77499312 92716724 114148848 139075086 185433448 254970991 278150172 370866896 509941982 556300344 764912973 857629697 1019883964 1112600688 1529825946 1715259394 2039767928 2572889091 3059651892 3430518788 4079535856 5145778182 6119303784 6861037576 9433926667 10291556364 12238607568 13722075152 18867853334 20583112728 28301780001 37735706668 41166225456 56603560002 75471413336 113207120004 150942826672 226414240008 452828480016