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46006725472 = 2553592571789
BaseRepresentation
bin101010110110001101…
…101110101101100000
311101202021202210210021
4222312031232231200
51223210210203342
633045111443224
73216042466651
oct526615565540
9141667683707
1046006725472
1118569662874
128abb686514
1344526645a6
14232624b528
1512e3eec567
hexab636eb60

46006725472 has 96 divisors (see below), whose sum is σ = 94266698400. Its totient is φ = 22088122368.

The previous prime is 46006725469. The next prime is 46006725491. The reversal of 46006725472 is 27452760064.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25715554 + ... + 25717342.

It is an arithmetic number, because the mean of its divisors is an integer number (981944775).

Almost surely, 246006725472 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 46006725472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47133349200).

46006725472 is an abundant number, since it is smaller than the sum of its proper divisors (48259972928).

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

46006725472 is a wasteful number, since it uses less digits than its factorization.

46006725472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 43.

The spelling of 46006725472 in words is "forty-six billion, six million, seven hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 53 59 106 118 212 236 257 424 472 514 848 944 1028 1696 1789 1888 2056 3127 3578 4112 6254 7156 8224 12508 13621 14312 15163 25016 27242 28624 30326 50032 54484 57248 60652 94817 100064 105551 108968 121304 189634 211102 217936 242608 379268 422204 435872 459773 485216 758536 803639 844408 919546 1517072 1607278 1688816 1839092 3034144 3214556 3377632 3678184 5594203 6429112 7356368 11188406 12858224 14712736 22376812 24367969 25716448 27126607 44753624 48735938 54253214 89507248 97471876 108506428 179014496 194943752 217012856 389887504 434025712 779775008 868051424 1437710171 2875420342 5750840684 11501681368 23003362736 46006725472