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5435450005504 = 21115749134429
BaseRepresentation
bin100111100011000101000…
…0100010001100000000000
3201020121211212010100211211
41033012022010101200000
51203023300200134004
615321002233215504
71100461342510651
oct117061204214000
921217755110754
105435450005504
11180618590a772
12739515261594
13305739c2560c
1414b111b15528
15965c643a504
hex4f18a111800

5435450005504 has 96 divisors (see below), whose sum is σ = 10960064715600. Its totient is φ = 2694836551680.

The previous prime is 5435450005487. The next prime is 5435450005529. The reversal of 5435450005504 is 4055000545345.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157856962 + ... + 157891390.

Almost surely, 25435450005504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5435450005504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480032357800).

5435450005504 is an abundant number, since it is smaller than the sum of its proper divisors (5524614710096).

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

5435450005504 is a wasteful number, since it uses less digits than its factorization.

5435450005504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35099 (or 35079 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 40.

The spelling of 5435450005504 in words is "five trillion, four hundred thirty-five billion, four hundred fifty million, five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 491 512 628 982 1024 1256 1964 2048 2512 3928 5024 7856 10048 15712 20096 31424 34429 40192 62848 68858 77087 80384 125696 137716 154174 160768 251392 275432 308348 321536 502784 550864 616696 1005568 1101728 1233392 2203456 2466784 4406912 4933568 5405353 8813824 9867136 10810706 16904639 17627648 19734272 21621412 33809278 35255296 39468544 43242824 67618556 70510592 78937088 86485648 135237112 157874176 172971296 270474224 345942592 540948448 691885184 1081896896 1383770368 2163793792 2654028323 2767540736 4327587584 5308056646 5535081472 8655175168 10616113292 11070162944 17310350336 21232226584 34620700672 42464453168 84928906336 169857812672 339715625344 679431250688 1358862501376 2717725002752 5435450005504