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2550971544 = 23311291013299
BaseRepresentation
bin1001100000001100…
…1011110010011000
320120210002210002120
42120003023302120
520211022042134
61101044101240
7120133620552
oct23003136230
96523083076
102550971544
111099a58750
125b2394820
13318667b24
141a2b1c4d2
15ede48649
hex980cbc98

2550971544 has 128 divisors (see below), whose sum is σ = 7270560000. Its totient is φ = 738752000.

The previous prime is 2550971539. The next prime is 2550971587. The reversal of 2550971544 is 4451790552.

It is a junction number, because it is equal to n+sod(n) for n = 2550971496 and 2550971505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 771607 + ... + 774905.

It is an arithmetic number, because the mean of its divisors is an integer number (56801250).

Almost surely, 22550971544 is an apocalyptic number.

2550971544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2550971544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635280000).

2550971544 is an abundant number, since it is smaller than the sum of its proper divisors (4719588456).

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

2550971544 is a wasteful number, since it uses less digits than its factorization.

2550971544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 2550971544 is about 50507.1434947573. The cubic root of 2550971544 is about 1366.3706919907.

The spelling of 2550971544 in words is "two billion, five hundred fifty million, nine hundred seventy-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 101 116 132 174 202 232 264 303 319 348 404 606 638 696 808 957 1111 1212 1276 1914 2222 2424 2552 2929 3299 3333 3828 4444 5858 6598 6666 7656 8787 8888 9897 11716 13196 13332 17574 19794 23432 26392 26664 32219 35148 36289 39588 64438 70296 72578 79176 95671 96657 108867 128876 145156 191342 193314 217734 257752 287013 290312 333199 382684 386628 435468 574026 666398 765368 773256 870936 999597 1052381 1148052 1332796 1999194 2104762 2296104 2665592 3157143 3665189 3998388 4209524 6314286 7330378 7996776 8419048 9662771 10995567 12628572 14660756 19325542 21991134 25257144 28988313 29321512 38651084 43982268 57976626 77302168 87964536 106290481 115953252 212580962 231906504 318871443 425161924 637742886 850323848 1275485772 2550971544