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1050849478464 = 263131197212081
BaseRepresentation
bin11110100101010111000…
…00101000011101000000
310201110102111200120111020
433102223200220131000
5114204114431302324
62122430435145440
7135631013121252
oct17225340503500
93643374616436
101050849478464
11375732153765
1214b7b3445280
1378130023336
1438c0b901cd2
151c5059a8679
hexf4ab828740

1050849478464 has 112 divisors (see below), whose sum is σ = 2815831377216. Its totient is φ = 345843097600.

The previous prime is 1050849478433. The next prime is 1050849478487. The reversal of 1050849478464 is 4648749480501.

It is a super-2 number, since 2×10508494784642 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1050849478398 and 1050849478407.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4848904 + ... + 5060984.

Almost surely, 21050849478464 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 1050849478464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407915688608).

1050849478464 is an abundant number, since it is smaller than the sum of its proper divisors (1764981898752).

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

1050849478464 is a wasteful number, since it uses less digits than its factorization.

1050849478464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212424 (or 212414 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 1050849478464 in words is "one trillion, fifty billion, eight hundred forty-nine million, four hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 197 262 393 394 524 591 786 788 1048 1182 1572 1576 2096 2364 3144 3152 4192 4728 6288 6304 8384 9456 12576 12608 18912 25152 25807 37824 51614 77421 103228 154842 206456 212081 309684 412912 424162 619368 636243 825824 848324 1238736 1272486 1651648 1696648 2477472 2544972 3393296 4954944 5089944 6786592 10179888 13573184 20359776 27782611 40719552 41779957 55565222 83347833 83559914 111130444 125339871 166695666 167119828 222260888 250679742 333391332 334239656 444521776 501359484 666782664 668479312 889043552 1002718968 1333565328 1336958624 1778087104 2005437936 2667130656 2673917248 4010875872 5334261312 5473174367 8021751744 10946348734 16419523101 21892697468 32839046202 43785394936 65678092404 87570789872 131356184808 175141579744 262712369616 350283159488 525424739232 1050849478464