Search a number
-
+
10363542306030 = 2325185836196549
BaseRepresentation
bin1001011011001111001101…
…0000011111110011101110
31100200202010002012212200100
42112303303100133303232
52324244013312243110
634012540130211530
72116512145065324
oct226636320376356
940622102185610
1010363542306030
113336176500321
1211b4635423ba6
135a237c573c84
1427b853375d14
1512e8a5d1bbc0
hex96cf341fcee

10363542306030 has 48 divisors (see below), whose sum is σ = 26946664336800. Its totient is φ = 2763462118464.

The previous prime is 10363542306011. The next prime is 10363542306031. The reversal of 10363542306030 is 3060324536301.

10363542306030 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 3 + 5 + 42 + 3 + 0 + 603 + 0 = 666.

It is a super-3 number, since 3×103635423060303 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10363542306031) 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, 1425805 + ... + 4770744.

It is an arithmetic number, because the mean of its divisors is an integer number (561388840350).

Almost surely, 210363542306030 is an apocalyptic number.

10363542306030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10363542306030 is an abundant number, since it is smaller than the sum of its proper divisors (16583122030770).

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

10363542306030 is a wasteful number, since it uses less digits than its factorization.

10363542306030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6215145 (or 6215142 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 10363542306030 in words is "ten trillion, three hundred sixty-three billion, five hundred forty-two million, three hundred six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 18583 37166 55749 92915 111498 167247 185830 278745 334494 557490 836235 1672470 6196549 12393098 18589647 30982745 37179294 55768941 61965490 92948235 111537882 185896470 278844705 557689410 115150470067 230300940134 345451410201 575752350335 690902820402 1036354230603 1151504700670 1727257051005 2072708461206 3454514102010 5181771153015 10363542306030