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43809838864 = 24112672712
BaseRepresentation
bin101000110011010001…
…010001011100010000
311012002011221101220121
4220303101101130100
51204210304320424
632043112520024
73110435325511
oct506321213420
9135064841817
1043809838864
111764156a400
1285a79b0014
13419248309c
142198580a08
1512161e7ee4
hexa33451710

43809838864 has 135 divisors (see below), whose sum is σ = 96065656743. Its totient is φ = 19340059200.

The previous prime is 43809838859. The next prime is 43809838889. The reversal of 43809838864 is 46883890834.

The square root of 43809838864 is 209308.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 617039949 + ... + 617040019.

Almost surely, 243809838864 is an apocalyptic number.

43809838864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

43809838864 is the 209308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43809838864

43809838864 is an abundant number, since it is smaller than the sum of its proper divisors (52255817879).

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

43809838864 is an equidigital number, since it uses as much as digits as its factorization.

43809838864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 61.

The spelling of 43809838864 in words is "forty-three billion, eight hundred nine million, eight hundred thirty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 67 71 88 121 134 142 176 242 268 284 484 536 568 737 781 968 1072 1136 1474 1562 1936 2948 3124 4489 4757 5041 5896 6248 8107 8591 8978 9514 10082 11792 12496 16214 17182 17956 19028 20164 32428 34364 35912 38056 40328 49379 52327 55451 64856 68728 71824 76112 80656 98758 104654 110902 129712 137456 197516 209308 221804 318719 337747 395032 418616 443608 543169 575597 609961 637438 675494 790064 837232 887216 1086338 1151194 1219922 1274876 1350988 2172676 2302388 2439844 2549752 2701976 3505909 3715217 4345352 4604776 4879688 5099504 5403952 7011818 7430434 8690704 9209552 9759376 14023636 14860868 22629049 28047272 29721736 38564999 40867387 45258098 56094544 59443472 77129998 81734774 90516196 154259996 163469548 181032392 248919539 308519992 326939096 362064784 497839078 617039984 653878192 995678156 1991356312 2738114929 3982712624 5476229858 10952459716 21904919432 43809838864