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12474244026464 = 2511417511150927
BaseRepresentation
bin1011010110000110001011…
…1000100101000001100000
31122011112012111212210111012
42311201202320211001200
53113334222432321324
642310331045240052
72425143252512123
oct265414270450140
948145174783435
1012474244026464
113a7a32a606160
121495713103028
136c64157c771c
14311a842b03ba
1516973c80420e
hexb5862e25060

12474244026464 has 96 divisors (see below), whose sum is σ = 27481287923712. Its totient is φ = 5524444800000.

The previous prime is 12474244026319. The next prime is 12474244026469. The reversal of 12474244026464 is 46462044247421.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12474244026469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10262969 + ... + 11413895.

It is an arithmetic number, because the mean of its divisors is an integer number (286263415872).

Almost surely, 212474244026464 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 12474244026464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740643961856).

12474244026464 is an abundant number, since it is smaller than the sum of its proper divisors (15007043897248).

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

12474244026464 is a wasteful number, since it uses less digits than its factorization.

12474244026464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151740 (or 1151732 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 50.

The spelling of 12474244026464 in words is "twelve trillion, four hundred seventy-four billion, two hundred forty-four million, twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 751 902 1312 1502 1804 3004 3608 6008 7216 8261 12016 14432 16522 24032 30791 33044 61582 66088 123164 132176 246328 264352 338701 492656 677402 985312 1150927 1354804 2301854 2709608 4603708 5419216 9207416 10838432 12660197 18414832 25320394 36829664 47188007 50640788 94376014 101281576 188752028 202563152 377504056 405126304 519068077 755008112 864346177 1038136154 1510016224 1728692354 2076272308 3457384708 4152544616 6914769416 8305089232 9507807947 13829538832 16610178464 19015615894 27659077664 35438193257 38031231788 70876386514 76062463576 141752773028 152124927152 283505546056 304249854304 389820125827 567011092112 779640251654 1134022184224 1559280503308 3118561006616 6237122013232 12474244026464