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45245133154254 = 2311107131281174047
BaseRepresentation
bin10100100100110011101000…
…00101101110011111001110
312221012101121010022121120210
422102121310011232133032
521412244013041414004
6240121154403023250
712346565402200035
oct1222316405563716
9187171533277523
1045245133154254
1113464398144610
1250a898766ab26
131c327a0340417
14b25c3a15371c
15536de2d54089
hex29267416e7ce

45245133154254 has 128 divisors (see below), whose sum is σ = 100757718319104. Its totient is φ = 13430781728000.

The previous prime is 45245133154241. The next prime is 45245133154391.

It is a happy number.

45245133154254 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259872259 + ... + 260046305.

It is an arithmetic number, because the mean of its divisors is an integer number (787169674368).

Almost surely, 245245133154254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45245133154254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50378859159552).

45245133154254 is an abundant number, since it is smaller than the sum of its proper divisors (55512585164850).

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

45245133154254 is a wasteful number, since it uses less digits than its factorization.

45245133154254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174582.

The product of its digits is 5760000, while the sum is 48.

It can be divided in two parts, 4524513 and 3154254, that added together give a palindrome (7678767).

The spelling of 45245133154254 in words is "forty-five trillion, two hundred forty-five billion, one hundred thirty-three million, one hundred fifty-four thousand, two hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 66 107 131 214 262 281 321 393 562 642 786 843 1177 1441 1686 2354 2882 3091 3531 4323 6182 7062 8646 9273 14017 18546 28034 30067 36811 42051 60134 73622 84102 90201 110433 154187 174047 180402 220866 308374 330737 348094 404921 462561 522141 661474 809842 925122 992211 1044282 1214763 1914517 1984422 2429526 3829034 3938777 5743551 7877554 11487102 11816331 18623029 22800157 23632662 37246058 43326547 45600314 48907207 55869087 68400471 86653094 97814414 111738174 129979641 136800942 146721621 204853319 250801727 259959282 293443242 409706638 501603454 537979277 614559957 752405181 1075958554 1229119914 1504810362 1613937831 2439616799 3227875662 4879233598 5233071149 6406844117 7318850397 10466142298 12813688234 14637700794 15699213447 19220532351 26835784789 31398426894 38441064702 53671569578 57563782639 70475285287 80507354367 115127565278 140950570574 161014708734 172691347917 211425855861 345382695834 422851711722 685532320519 1371064641038 2056596961557 4113193923114 7540855525709 15081711051418 22622566577127 45245133154254