Search a number
-
+
10274887728 = 2432728373593
BaseRepresentation
bin10011001000110111…
…00101100000110000
3222112002000101012100
421210123211200300
5132020332401403
64415322300400
7512423050620
oct114433454060
928462011170
1010274887728
1143a29a7256
121ba9057700
13c79934c31
146d687a880
154020ab2a3
hex2646e5830

10274887728 has 120 divisors (see below), whose sum is σ = 32884064928. Its totient is φ = 2933830656.

The previous prime is 10274887699. The next prime is 10274887739. The reversal of 10274887728 is 82778847201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2857900 + ... + 2861492.

Almost surely, 210274887728 is an apocalyptic number.

10274887728 is a gapful number since it is divisible by the number (18) 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 10274887728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16442032464).

10274887728 is an abundant number, since it is smaller than the sum of its proper divisors (22609177200).

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

10274887728 is a wasteful number, since it uses less digits than its factorization.

10274887728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6451 (or 6442 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 54.

The spelling of 10274887728 in words is "ten billion, two hundred seventy-four million, eight hundred eighty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2837 3593 5674 7186 8511 10779 11348 14372 17022 19859 21558 22696 25151 25533 28744 32337 34044 39718 43116 45392 50302 51066 57488 59577 64674 68088 75453 79436 86232 100604 102132 119154 129348 136176 150906 158872 172464 178731 201208 204264 226359 238308 258696 301812 317744 357462 402416 408528 452718 476616 517392 603624 714924 905436 953232 1207248 1429848 1810872 2859696 3621744 10193341 20386682 30580023 40773364 61160046 71353387 81546728 91740069 122320092 142706774 163093456 183480138 214060161 244640184 285413548 366960276 428120322 489280368 570827096 642180483 733920552 856240644 1141654192 1284360966 1467841104 1712481288 2568721932 3424962576 5137443864 10274887728