Search a number
-
+
2072531943810 = 2325127571805137
BaseRepresentation
bin11110001010001100100…
…001111100000110000010
321100010120022111100210100
4132022030201330012002
5232424021134200220
64224035200143230
7302510162566056
oct36121441740602
97303508440710
102072531943810
11729a572847a9
12295806907b16
13120592413b13
147244d86dc66
1538da0a28d90
hex1e28c87c182

2072531943810 has 48 divisors (see below), whose sum is σ = 5389008441336. Its totient is φ = 552631555584.

The previous prime is 2072531943791. The next prime is 2072531943827. The reversal of 2072531943810 is 183491352702.

It is a happy number.

2072531943810 is a `hidden beast` number, since 2 + 0 + 7 + 253 + 19 + 4 + 381 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1499402699001 + 573129244809 = 1224501^2 + 757053^2 .

It is a super-2 number, since 2×20725319438102 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 245562 + ... + 2050698.

Almost surely, 22072531943810 is an apocalyptic number.

2072531943810 is an abundant number, since it is smaller than the sum of its proper divisors (3316476497526).

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

2072531943810 is a wasteful number, since it uses less digits than its factorization.

2072531943810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817907 (or 1817904 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2072531943810 in words is "two trillion, seventy-two billion, five hundred thirty-one million, nine hundred forty-three thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 12757 25514 38271 63785 76542 114813 127570 191355 229626 382710 574065 1148130 1805137 3610274 5415411 9025685 10830822 16246233 18051370 27077055 32492466 54154110 81231165 162462330 23028132709 46056265418 69084398127 115140663545 138168796254 207253194381 230281327090 345421990635 414506388762 690843981270 1036265971905 2072531943810