Search a number
-
+
2625522240450 = 235227197766109
BaseRepresentation
bin100110001101001101010…
…100100000101111000010
3100021222221011022001111010
4212031031110200233002
5321004032143143300
65330052005301350
7360454613551254
oct46151524405702
910258834261433
102625522240450
1192252894838a
12364a16104856
1316077c9992b5
149110c5c1cd4
15484687caa50
hex2634d520bc2

2625522240450 has 96 divisors (see below), whose sum is σ = 6542110206720. Its totient is φ = 696831206400.

The previous prime is 2625522240449. The next prime is 2625522240457. The reversal of 2625522240450 is 540422255262.

It is a junction number, because it is equal to n+sod(n) for n = 2625522240399 and 2625522240408.

It is not an unprimeable number, because it can be changed into a prime (2625522240457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39681996 + ... + 39748104.

It is an arithmetic number, because the mean of its divisors is an integer number (68146981320).

Almost surely, 22625522240450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2625522240450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271055103360).

2625522240450 is an abundant number, since it is smaller than the sum of its proper divisors (3916587966270).

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

2625522240450 is a wasteful number, since it uses less digits than its factorization.

2625522240450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67372 (or 67367 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

The spelling of 2625522240450 in words is "two trillion, six hundred twenty-five billion, five hundred twenty-two million, two hundred forty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 271 542 813 977 1355 1626 1954 2710 2931 4065 4885 5862 6775 8130 9770 13550 14655 20325 24425 29310 40650 48850 66109 73275 132218 146550 198327 264767 330545 396654 529534 661090 794301 991635 1323835 1588602 1652725 1983270 2647670 3305450 3971505 4958175 6619175 7943010 9916350 13238350 17915539 19857525 35831078 39715050 53746617 64588493 89577695 107493234 129176986 179155390 193765479 268733085 322942465 387530958 447888475 537466170 645884930 895776950 968827395 1343665425 1614712325 1937654790 2687330850 3229424650 4844136975 9688273950 17503481603 35006963206 52510444809 87517408015 105020889618 175034816030 262552224045 437587040075 525104448090 875174080150 1312761120225 2625522240450