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1225389341664 = 25338317087647
BaseRepresentation
bin10001110101001110111…
…001010111101111100000
311100010221111020022011000
4101311032321113233200
5130034044132413124
62334534110152000
7154350201355215
oct21651671275740
94303844208130
101225389341664
11432759379294
121795a44b2600
138b7276a03b7
144344849db0c
1521d1db686c9
hex11d4ee57be0

1225389341664 has 96 divisors (see below), whose sum is σ = 3617113328640. Its totient is φ = 403541847936.

The previous prime is 1225389341633. The next prime is 1225389341669. The reversal of 1225389341664 is 4661439835221.

It is a happy number.

1225389341664 is a `hidden beast` number, since 1 + 2 + 2 + 538 + 9 + 3 + 41 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1225389341664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225389341669) 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 15 ways as a sum of consecutive naturals, for example, 8472112 + ... + 8615535.

It is an arithmetic number, because the mean of its divisors is an integer number (37678263840).

Almost surely, 21225389341664 is an apocalyptic number.

It is an amenable number.

1225389341664 is an abundant number, since it is smaller than the sum of its proper divisors (2391723986976).

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

1225389341664 is a wasteful number, since it uses less digits than its factorization.

1225389341664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17087749 (or 17087735 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 1225389341664 in words is "one trillion, two hundred twenty-five billion, three hundred eighty-nine million, three hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 249 288 332 432 498 664 747 864 996 1328 1494 1992 2241 2656 2988 3984 4482 5976 7968 8964 11952 17928 23904 35856 71712 17087647 34175294 51262941 68350588 102525882 136701176 153788823 205051764 273402352 307577646 410103528 461366469 546804704 615155292 820207056 922732938 1230310584 1418274701 1640414112 1845465876 2460621168 2836549402 3690931752 4254824103 4921242336 5673098804 7381863504 8509648206 11346197608 12764472309 14763727008 17019296412 22692395216 25528944618 34038592824 38293416927 45384790432 51057889236 68077185648 76586833854 102115778472 136154371296 153173667708 204231556944 306347335416 408463113888 612694670832 1225389341664