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2250040612644 = 2232112816763247
BaseRepresentation
bin100000101111100000110…
…111110001011100100100
321222002202012101001011100
4200233200313301130210
5243331040344101034
64441353203040100
7321363050434026
oct40574067613444
97862665331140
102250040612644
117982672a3a00
123040a6070030
13134240b728c6
147ac8c834016
153d7de66a099
hex20be0df1724

2250040612644 has 108 divisors (see below), whose sum is σ = 6252526763392. Its totient is φ = 681736223520.

The previous prime is 2250040612627. The next prime is 2250040612709. The reversal of 2250040612644 is 4462160400522.

2250040612644 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 0 + 4 + 0 + 6 + 1 + 2 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2250040612599 and 2250040612608.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35543829 + ... + 35607075.

Almost surely, 22250040612644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250040612644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126263381696).

2250040612644 is an abundant number, since it is smaller than the sum of its proper divisors (4002486150748).

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

2250040612644 is a wasteful number, since it uses less digits than its factorization.

2250040612644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71446 (or 71430 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 2250040612644 in words is "two trillion, two hundred fifty billion, forty million, six hundred twelve thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 8167 16334 24501 32668 49002 63247 73503 89837 98004 126494 147006 179674 189741 252988 269511 294012 359348 379482 539022 569223 695717 758964 808533 988207 1078044 1138446 1391434 1617066 1976414 2087151 2276892 2782868 2964621 3234132 3952828 4174302 5929242 6261453 7652887 8348604 8893863 11858484 12522906 15305774 17787726 22958661 25045812 30611548 35575452 45917322 68875983 91834644 137751966 275503932 516538249 1033076498 1549614747 2066152996 3099229494 4648844241 5681920739 6198458988 9297688482 11363841478 17045762217 18595376964 22727682956 34091524434 51137286651 62501128129 68183048868 102274573302 125002256258 187503384387 204549146604 250004512516 375006768774 562510153161 750013537548 1125020306322 2250040612644