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44713666304 = 28237997991
BaseRepresentation
bin101001101001001001…
…000110011100000000
311021102011122121001222
4221221021012130000
51213033144310204
632312521014212
73142021615106
oct515111063400
9137364577058
1044713666304
1117a6577632a
1287ba624368
1342a77b9918
142242615c76
15126a72dabe
hexa69246700

44713666304 has 144 divisors (see below), whose sum is σ = 95380561920. Its totient is φ = 20875345920.

The previous prime is 44713666289. The next prime is 44713666331. The reversal of 44713666304 is 40366631744.

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 15 ways as a sum of consecutive naturals, for example, 45119249 + ... + 45120239.

Almost surely, 244713666304 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 44713666304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47690280960).

44713666304 is an abundant number, since it is smaller than the sum of its proper divisors (50666895616).

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

44713666304 is an equidigital number, since it uses as much as digits as its factorization.

44713666304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 44.

The spelling of 44713666304 in words is "forty-four billion, seven hundred thirteen million, six hundred sixty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 79 92 97 128 158 184 194 256 316 368 388 632 736 776 991 1264 1472 1552 1817 1982 2231 2528 2944 3104 3634 3964 4462 5056 5888 6208 7268 7663 7928 8924 10112 12416 14536 15326 15856 17848 20224 22793 24832 29072 30652 31712 35696 45586 58144 61304 63424 71392 78289 91172 96127 116288 122608 126848 142784 156578 176249 182344 192254 232576 245216 253696 285568 313156 352498 364688 384508 465152 490432 571136 626312 704996 729376 769016 980864 1252624 1409992 1458752 1538032 1800647 1961728 2210921 2505248 2819984 2917504 3076064 3601294 4421842 5010496 5639968 5835008 6152128 7202588 7594033 8843684 10020992 11279936 12304256 14405176 15188066 17687368 20041984 22559872 24608512 28810352 30376132 35374736 45119744 57620704 60752264 70749472 115241408 121504528 141498944 174662759 230482816 243009056 282997888 349325518 460965632 486018112 565995776 698651036 972036224 1397302072 1944072448 2794604144 5589208288 11178416576 22356833152 44713666304