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2250090435411 = 337132931578887
BaseRepresentation
bin100000101111100011110…
…101110101001101010011
321222002212200010022011000
4200233203311311031103
5243331141122413121
64441402142553043
7321364224062640
oct40574365651523
97862780108130
102250090435411
11798292433545
123040ba898783
1313424b298430
147ac952c2dc7
153d7e3c0c526
hex20be3d75353

2250090435411 has 64 divisors (see below), whose sum is σ = 4244202547200. Its totient is φ = 1145934615168.

The previous prime is 2250090435287. The next prime is 2250090435433. The reversal of 2250090435411 is 1145340900522.

2250090435411 is a `hidden beast` number, since 2 + 2 + 500 + 90 + 4 + 3 + 54 + 11 = 666.

It is not a de Polignac number, because 2250090435411 - 29 = 2250090434899 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2250090435451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15718191 + ... + 15860696.

It is an arithmetic number, because the mean of its divisors is an integer number (66315664800).

Almost surely, 22250090435411 is an apocalyptic number.

2250090435411 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2250090435411 is a deficient number, since it is larger than the sum of its proper divisors (1994112111789).

2250090435411 is a wasteful number, since it uses less digits than its factorization.

2250090435411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31578945 (or 31578939 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2250090435411 in words is "two trillion, two hundred fifty billion, ninety million, four hundred thirty-five thousand, four hundred eleven".

Divisors: 1 3 7 9 13 21 27 29 39 63 87 91 117 189 203 261 273 351 377 609 783 819 1131 1827 2457 2639 3393 5481 7917 10179 23751 71253 31578887 94736661 221052209 284209983 410525531 663156627 852629949 915787723 1231576593 1989469881 2747363169 2873678717 3694729779 5968409643 6410514061 8242089507 8621036151 11084189337 11905240399 19231542183 24726268521 25863108453 35715721197 57694626549 77589325359 83336682793 107147163591 173083879647 250010048379 321441490773 750030145137 2250090435411