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44287166352 = 243111314874339
BaseRepresentation
bin101001001111101110…
…001000011110010000
311020022110010011010110
4221033232020132100
51211200003310402
632202323401320
73125322463032
oct511756103620
9136273104113
1044287166352
1117866a50630
1286bb823240
13423a32a4a0
142201b13c52
15124308356c
hexa4fb88790

44287166352 has 160 divisors (see below), whose sum is σ = 134531389440. Its totient is φ = 12376834560.

The previous prime is 44287166351. The next prime is 44287166369. The reversal of 44287166352 is 25366178244.

It is a super-2 number, since 2×442871663522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (44287166351) 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 31 ways as a sum of consecutive naturals, for example, 10204599 + ... + 10208937.

It is an arithmetic number, because the mean of its divisors is an integer number (840821184).

Almost surely, 244287166352 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 44287166352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67265694720).

44287166352 is an abundant number, since it is smaller than the sum of its proper divisors (90244223088).

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

44287166352 is a wasteful number, since it uses less digits than its factorization.

44287166352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861 (or 5855 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The spelling of 44287166352 in words is "forty-four billion, two hundred eighty-seven million, one hundred sixty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1487 1716 2288 2974 3432 4339 4461 5948 6864 8678 8922 11896 13017 16357 17356 17844 19331 23792 26034 32714 34712 35688 38662 47729 49071 52068 56407 57993 65428 69424 71376 77324 95458 98142 104136 112814 115986 130856 143187 154648 169221 190916 196284 208272 212641 225628 231972 261712 286374 309296 338442 381832 392568 425282 451256 463944 572748 620477 637923 676884 763664 785136 850564 902512 927888 1145496 1240954 1275846 1353768 1701128 1861431 2290992 2481908 2551692 2707536 3402256 3722862 4963816 5103384 6452093 7445724 9927632 10206768 12904186 14891448 19356279 25808372 29782896 38712558 51616744 70973023 77425116 83877209 103233488 141946046 154850232 167754418 212919069 251631627 283892092 309700464 335508836 425838138 503263254 567784184 671017672 851676276 922649299 1006526508 1135568368 1342035344 1703352552 1845298598 2013053016 2767947897 3406705104 3690597196 4026106032 5535895794 7381194392 11071791588 14762388784 22143583176 44287166352