Search a number
-
+
10753322655060 = 2232559740681417
BaseRepresentation
bin1001110001111011001111…
…1110100001110101010100
31102002000012112201012001200
42130132303332201311110
52402140301044430220
634512001435552500
72156621234303466
oct234366376416524
942060175635050
1010753322655060
113476505333687
121258095bbb730
1360005984a25b
1429266c15a136
15139aba41a890
hex9c7b3fa1d54

10753322655060 has 36 divisors (see below), whose sum is σ = 32618412054228. Its totient is φ = 2867552707968.

The previous prime is 10753322655059. The next prime is 10753322655113. The reversal of 10753322655060 is 6055622335701.

10753322655060 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 3 + 32 + 2 + 6 + 550 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8596178341776 + 2157144313284 = 2931924^2 + 1468722^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 10753322654997 and 10753322655015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29870340529 + ... + 29870340888.

Almost surely, 210753322655060 is an apocalyptic number.

10753322655060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10753322655060 is an abundant number, since it is smaller than the sum of its proper divisors (21865089399168).

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

10753322655060 is a wasteful number, since it uses less digits than its factorization.

10753322655060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59740681432 (or 59740681427 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 10753322655060 in words is "ten trillion, seven hundred fifty-three billion, three hundred twenty-two million, six hundred fifty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 59740681417 119481362834 179222044251 238962725668 298703407085 358444088502 537666132753 597406814170 716888177004 896110221255 1075332265506 1194813628340 1792220442510 2150664531012 2688330663765 3584440885020 5376661327530 10753322655060