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45126576021846 = 231143293116346663
BaseRepresentation
bin10100100001010110110011…
…00010001010000101010110
312220210001120200011021022210
422100223121202022011112
521403323211430144341
6235550510212134250
712335200423200504
oct1220533142120526
9186701520137283
1045126576021846
1113419089798250
1250899bb007386
131c24558063677
14b201d06bb674
15533ca48aec16
hex290ad988a156

45126576021846 has 128 divisors (see below), whose sum is σ = 101180644798464. Its totient is φ = 13299386728320.

The previous prime is 45126576021811. The next prime is 45126576021847. The reversal of 45126576021846 is 64812067562154.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45126576021847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 967050711 + ... + 967097373.

It is an arithmetic number, because the mean of its divisors is an integer number (790473787488).

Almost surely, 245126576021846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45126576021846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50590322399232).

45126576021846 is an abundant number, since it is smaller than the sum of its proper divisors (56054068776618).

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

45126576021846 is a wasteful number, since it uses less digits than its factorization.

45126576021846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48178.

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 45126576021846 in words is "forty-five trillion, one hundred twenty-six billion, five hundred seventy-six million, twenty-one thousand, eight hundred forty-six".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 293 473 586 879 946 1163 1419 1758 2326 2838 3223 3489 6446 6978 9669 12599 12793 19338 25198 25586 37797 38379 46663 50009 75594 76758 93326 100018 138589 139989 150027 277178 279978 300054 340759 415767 513293 550099 681518 831534 1022277 1026586 1100198 1539879 1650297 2006509 2044554 3079758 3300594 3748349 4013018 6019527 7496698 11245047 12039054 13672259 14652637 22071599 22490094 27344518 29305274 41016777 43957911 44143198 54269069 66214797 82033554 87915822 108538138 132429594 150394849 161179007 162807207 300789698 322358014 325614414 451184547 483537021 587907137 596959759 902369094 967074042 1175814274 1193919518 1763721411 1790879277 2333569967 3527442822 3581758554 4667139934 6466978507 7000709901 12933957014 14001419802 15900837217 19400935521 25669269637 31801674434 38801871042 47702511651 51338539274 77007808911 95405023302 154015617822 174909209387 349818418774 524727628161 683736000331 1049455256322 1367472000662 2051208000993 4102416001986 7521096003641 15042192007282 22563288010923 45126576021846