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2251025244216 = 2332723194187823
BaseRepresentation
bin100000110000011011100…
…011110110000000111000
321222012021211010111202100
4200300123203312000320
5243340044430303331
64442035015103400
7321426334606020
oct40603343660070
97865254114670
102251025244216
11798722080201
1230431b971b60
13134369b5b838
147ad43500a80
153d84ad12ae6
hex20c1b8f6038

2251025244216 has 96 divisors (see below), whose sum is σ = 7270392130560. Its totient is φ = 615187020096.

The previous prime is 2251025244211. The next prime is 2251025244229. The reversal of 2251025244216 is 6124425201522.

2251025244216 is a `hidden beast` number, since 2 + 2 + 5 + 102 + 524 + 4 + 21 + 6 = 666.

It is a super-2 number, since 2×22510252442162 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251025244211) by changing a digit.

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, 97082320 + ... + 97105503.

It is an arithmetic number, because the mean of its divisors is an integer number (75733251360).

Almost surely, 22251025244216 is an apocalyptic number.

It is an amenable number.

2251025244216 is an abundant number, since it is smaller than the sum of its proper divisors (5019366886344).

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

2251025244216 is a wasteful number, since it uses less digits than its factorization.

2251025244216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194187865 (or 194187858 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 2251025244216 in words is "two trillion, two hundred fifty-one billion, twenty-five million, two hundred forty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 194187823 388375646 582563469 776751292 1165126938 1359314761 1553502584 1747690407 2330253876 2718629522 3495380814 4077944283 4466319929 4660507752 5437259044 6990761628 8155888566 8932639858 10874518088 12233832849 13398959787 13981523256 16311777132 17865279716 24467665698 26797919574 31264239503 32623554264 35730559432 40196879361 48935331396 53595839148 62528479006 80393758722 93792718509 97870662792 107191678296 125056958012 160787517444 187585437018 250113916024 281378155527 321575034888 375170874036 562756311054 750341748072 1125512622108 2251025244216