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10550459088 = 2433132144511
BaseRepresentation
bin10011101001101101…
…10011101011010000
31000020021112212001000
421310312303223100
5133101404142323
64502524542000
7522310264641
oct116466635320
930207485030
1010550459088
114524506084
1220653b1900
13cc1a5b900
147212d16c8
1541b391e43
hex274db3ad0

10550459088 has 120 divisors (see below), whose sum is σ = 32792663040. Its totient is φ = 3246272640.

The previous prime is 10550459083. The next prime is 10550459123. The reversal of 10550459088 is 88095405501.

It is a happy number.

10550459088 is a `hidden beast` number, since 1 + 0 + 5 + 50 + 4 + 590 + 8 + 8 = 666.

It is a super-2 number, since 2×105504590882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10550459083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 753 + ... + 145263.

It is an arithmetic number, because the mean of its divisors is an integer number (273272192).

Almost surely, 210550459088 is an apocalyptic number.

10550459088 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 10550459088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16396331520).

10550459088 is an abundant number, since it is smaller than the sum of its proper divisors (22242203952).

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

10550459088 is a wasteful number, since it uses less digits than its factorization.

10550459088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144554 (or 144529 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 10550459088 in words is "ten billion, five hundred fifty million, four hundred fifty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 169 208 216 234 312 338 351 432 468 507 624 676 702 936 1014 1352 1404 1521 1872 2028 2704 2808 3042 4056 4563 5616 6084 8112 9126 12168 18252 24336 36504 73008 144511 289022 433533 578044 867066 1156088 1300599 1734132 1878643 2312176 2601198 3468264 3757286 3901797 5202396 5635929 6936528 7514572 7803594 10404792 11271858 15029144 15607188 16907787 20809584 22543716 24422359 30058288 31214376 33815574 45087432 48844718 50723361 62428752 67631148 73267077 90174864 97689436 101446722 135262296 146534154 195378872 202893444 219801231 270524592 293068308 390757744 405786888 439602462 586136616 659403693 811573776 879204924 1172273232 1318807386 1758409848 2637614772 3516819696 5275229544 10550459088