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45432122123454 = 23118923946496961
BaseRepresentation
bin10100101010001111111011…
…00000000010010010111110
312221212021020201001110012120
422111013331200002102332
521423324441230422304
6240343121225343410
712366235224204453
oct1225077540022276
9187767221043176
1045432122123454
11135267225867a0
125119071937b66
131c472ccbc7ab1
14b30cd823782a
1553bbd8de80d9
hex2951fd8024be

45432122123454 has 128 divisors (see below), whose sum is σ = 100693912320000. Its totient is φ = 13550801510400.

The previous prime is 45432122123429. The next prime is 45432122123537.

45432122123454 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, 6526662534 + ... + 6526669494.

It is an arithmetic number, because the mean of its divisors is an integer number (786671190000).

Almost surely, 245432122123454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45432122123454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50346956160000).

45432122123454 is an abundant number, since it is smaller than the sum of its proper divisors (55261790196546).

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

45432122123454 is a wasteful number, since it uses less digits than its factorization.

45432122123454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11954.

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 4543212 and 2123454, that added together give a palindrome (6666666).

The spelling of 45432122123454 in words is "forty-five trillion, four hundred thirty-two billion, one hundred twenty-two million, one hundred twenty-three thousand, four hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 66 89 178 239 267 478 534 717 979 1434 1958 2629 2937 4649 5258 5874 6961 7887 9298 13922 13947 15774 20883 21271 27894 41766 42542 51139 63813 76571 102278 127626 153142 153417 229713 233981 306834 413761 459426 467962 619529 701943 827522 1111111 1239058 1241283 1403886 1663679 1858587 2222222 2482566 3327358 3333333 3717174 4551371 4991037 6666666 6814819 9102742 9982074 12222221 13629638 13654113 18300469 20444457 24444442 27308226 32361689 36600938 36666663 40888914 54901407 64723378 73333326 97085067 98888879 109802814 148067431 194170134 197777758 296134862 296666637 355978579 444202293 593333274 711957158 888404586 1067935737 1087777669 1628741741 2135871474 2175555338 2880190321 3257483482 3263333007 4886225223 5760380642 6526666014 7734443671 8640570963 9772450446 15468887342 17281141926 23203331013 31682093531 46406662026 63364187062 85078880381 95046280593 170157760762 190092561186 255236641143 510473282286 688365486719 1376730973438 2065096460157 4130192920314 7572020353909 15144040707818 22716061061727 45432122123454