Search a number
-
+
10055173720 = 235798935753
BaseRepresentation
bin10010101110101010…
…11100011001011000
3221221202120202020111
421113111130121120
5131043111024340
64341433134104
7504114365164
oct112725343130
927852522214
1010055173720
11429a979929
121b4755a334
13c43267747
146b5605ca4
153dcb5aaea
hex25755c658

10055173720 has 64 divisors (see below), whose sum is σ = 23168592000. Its totient is φ = 3926427648.

The previous prime is 10055173627. The next prime is 10055173721. The reversal of 10055173720 is 2737155001.

10055173720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100551737202 (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 (10055173721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263364 + ... + 299116.

It is an arithmetic number, because the mean of its divisors is an integer number (362009250).

Almost surely, 210055173720 is an apocalyptic number.

10055173720 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 10055173720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11584296000).

10055173720 is an abundant number, since it is smaller than the sum of its proper divisors (13113418280).

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

10055173720 is a wasteful number, since it uses less digits than its factorization.

10055173720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35932 (or 35928 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 31.

The spelling of 10055173720 in words is "ten billion, fifty-five million, one hundred seventy-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 89 158 178 316 356 395 445 632 712 790 890 1580 1780 3160 3560 7031 14062 28124 35155 35753 56248 70310 71506 140620 143012 178765 281240 286024 357530 715060 1430120 2824487 3182017 5648974 6364034 11297948 12728068 14122435 15910085 22595896 25456136 28244870 31820170 56489740 63640340 112979480 127280680 251379343 502758686 1005517372 1256896715 2011034744 2513793430 5027586860 10055173720