Search a number
-
+
10553073660 = 2234513274909
BaseRepresentation
bin10011101010000001…
…10001111111111100
31000020110110200120000
421311000301333330
5133103041324120
64503100554300
7522341434413
oct116500617774
930213420500
1010553073660
114525a31488
122066252990
13cc24659ac
147217b247a
1541b70b990
hex275031ffc

10553073660 has 120 divisors (see below), whose sum is σ = 33137079360. Its totient is φ = 2811459456.

The previous prime is 10553073653. The next prime is 10553073667. The reversal of 10553073660 is 6637035501.

It is a happy number.

10553073660 is a `hidden beast` number, since 10 + 553 + 0 + 7 + 36 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (10553073653) and next prime (10553073667).

It is a super-2 number, since 2×105530736602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10553073667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2147286 + ... + 2152194.

It is an arithmetic number, because the mean of its divisors is an integer number (276142328).

Almost surely, 210553073660 is an apocalyptic number.

10553073660 is a gapful number since it is divisible by the number (10) 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 10553073660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16568539680).

10553073660 is an abundant number, since it is smaller than the sum of its proper divisors (22584005700).

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

10553073660 is a wasteful number, since it uses less digits than its factorization.

10553073660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6257 (or 6246 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 10553073660 in words is "ten billion, five hundred fifty-three million, seventy-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1327 1620 2654 3981 4909 5308 6635 7962 9818 11943 13270 14727 15924 19636 19905 23886 24545 26540 29454 35829 39810 44181 47772 49090 58908 59715 71658 73635 79620 88362 98180 107487 119430 132543 143316 147270 176724 179145 214974 220905 238860 265086 294540 358290 397629 429948 441810 530172 537435 662715 716580 795258 883620 1074870 1325430 1590516 1988145 2149740 2650860 3976290 6514243 7952580 13028486 19542729 26056972 32571215 39085458 58628187 65142430 78170916 97713645 117256374 130284860 175884561 195427290 234512748 293140935 351769122 390854580 527653683 586281870 703538244 879422805 1055307366 1172563740 1758845610 2110614732 2638268415 3517691220 5276536830 10553073660