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2146025466414 = 2331767293119083
BaseRepresentation
bin11111001110101001000…
…101011110101000101110
321121011021012112010202000
4133032221011132220232
5240130030004411124
64321512005313130
7311021340326604
oct37165105365056
97534235463660
102146025466414
1175814047a035
122a7ab77057a6
131274a556a6bb
1475c22439874
153ac52bb76c9
hex1f3a915ea2e

2146025466414 has 128 divisors (see below), whose sum is σ = 5142371028480. Its totient is φ = 660945111552.

The previous prime is 2146025466401. The next prime is 2146025466439. The reversal of 2146025466414 is 4146645206412.

2146025466414 is a `hidden beast` number, since 2 + 1 + 4 + 60 + 2 + 546 + 6 + 41 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2146025466414.

It is a congruent number.

It is an unprimeable number.

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, 17961717 + ... + 18080799.

It is an arithmetic number, because the mean of its divisors is an integer number (40174773660).

Almost surely, 22146025466414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146025466414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571185514240).

2146025466414 is an abundant number, since it is smaller than the sum of its proper divisors (2996345562066).

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

2146025466414 is a wasteful number, since it uses less digits than its factorization.

2146025466414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119471 (or 119465 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 2146025466414 in words is "two trillion, one hundred forty-six billion, twenty-five million, four hundred sixty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 67 102 134 153 201 293 306 402 459 586 603 879 918 1139 1206 1758 1809 2278 2637 3417 3618 4981 5274 6834 7911 9962 10251 14943 15822 19631 20502 29886 30753 39262 44829 58893 61506 89658 117786 119083 134487 176679 238166 268974 333727 353358 357249 530037 667454 714498 1001181 1060074 1071747 2002362 2024411 2143494 3003543 3215241 4048822 6007086 6073233 6430482 7978561 9010629 12146466 15957122 18021258 18219699 23935683 34891319 36439398 47871366 54659097 69782638 71807049 104673957 109318194 135635537 143614098 209347914 215421147 271271074 314021871 406906611 430842294 593152423 628043742 813813222 942065613 1186304846 1220719833 1779457269 1884131226 2337718373 2441439666 3558914538 3662159499 4675436746 5338371807 7013155119 7324318998 10676743614 14026310238 16015115421 21039465357 32030230842 39741212341 42078930714 63118396071 79482424682 119223637023 126236792142 238447274046 357670911069 715341822138 1073012733207 2146025466414