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1225616516550 = 2325219731963657
BaseRepresentation
bin10001110101011100011…
…011111110010111000110
311100011112022200222111200
4101311130123332113012
5130040030312012200
62335012423243330
7154355630333526
oct21653433762706
94304468628450
101225616516550
11432865632128
121796485a9546
138b7627807ca
144346a717686
1521d33a8e800
hex11d5c6fe5c6

1225616516550 has 144 divisors (see below), whose sum is σ = 3513612532560. Its totient is φ = 305387781120.

The previous prime is 1225616516539. The next prime is 1225616516557. The reversal of 1225616516550 is 556156165221.

It is a happy number.

1225616516550 is a `hidden beast` number, since 1 + 2 + 25 + 6 + 1 + 65 + 16 + 550 = 666.

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 = 1225616516496 and 1225616516505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225616516557) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 357679 + ... + 1605978.

Almost surely, 21225616516550 is an apocalyptic number.

1225616516550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1225616516550 is an abundant number, since it is smaller than the sum of its proper divisors (2287996016010).

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

1225616516550 is a wasteful number, since it uses less digits than its factorization.

1225616516550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963767 (or 1963759 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 1225616516550 in words is "one trillion, two hundred twenty-five billion, six hundred sixteen million, five hundred sixteen thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 73 75 90 95 114 146 150 171 190 219 225 285 342 365 438 450 475 570 657 730 855 950 1095 1314 1387 1425 1710 1825 2190 2774 2850 3285 3650 4161 4275 5475 6570 6935 8322 8550 10950 12483 13870 16425 20805 24966 32850 34675 41610 62415 69350 104025 124830 208050 312075 624150 1963657 3927314 5890971 9818285 11781942 17672913 19636570 29454855 35345826 37309483 49091425 58909710 74618966 88364565 98182850 111928449 143346961 147274275 176729130 186547415 223856898 286693922 294548550 335785347 373094830 430040883 441822825 559642245 671570694 716734805 860081766 883645650 932737075 1119284490 1290122649 1433469610 1678926735 1865474150 2150204415 2580245298 2723592259 2798211225 3357853470 3583674025 4300408830 5447184518 5596422450 6450613245 7167348050 8170776777 8394633675 10751022075 12901226490 13617961295 16341553554 16789267350 21502044150 24512330331 27235922590 32253066225 40853883885 49024660662 64506132450 68089806475 81707767770 122561651655 136179612950 204269419425 245123303310 408538838850 612808258275 1225616516550