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43668378992 = 2472178813719
BaseRepresentation
bin101000101010110101…
…101001010101110000
311011201022202111110002
4220222311221111300
51203413101111432
632021100525132
73104100045200
oct505265512560
9134638674402
1043668378992
1117579730517
1285685507a8
13416c084414
14218387a400
151208aa3e62
hexa2ad69570

43668378992 has 120 divisors (see below), whose sum is σ = 104356758240. Its totient is φ = 17589411840.

The previous prime is 43668378953. The next prime is 43668379033. The reversal of 43668378992 is 29987386634.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11740109 + ... + 11743827.

It is an arithmetic number, because the mean of its divisors is an integer number (869639652).

Almost surely, 243668378992 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 43668378992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52178379120).

43668378992 is an abundant number, since it is smaller than the sum of its proper divisors (60688379248).

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

43668378992 is a wasteful number, since it uses less digits than its factorization.

43668378992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4626 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 65.

The spelling of 43668378992 in words is "forty-three billion, six hundred sixty-eight million, three hundred seventy-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 392 476 784 833 881 952 1666 1762 1904 3332 3524 3719 6167 6664 7048 7438 12334 13328 14096 14876 14977 24668 26033 29752 29954 43169 49336 52066 59504 59908 63223 86338 98672 104132 104839 119816 126446 172676 182231 208264 209678 239632 252892 345352 364462 416528 419356 442561 505784 690704 728924 733873 838712 885122 1011568 1457848 1467746 1677424 1770244 2915696 2935492 3097927 3276439 3540488 5870984 6195854 6552878 7080976 11741968 12391708 13105756 22935073 24783416 26211512 45870146 49566832 52423024 55699463 91740292 111398926 160545511 183480584 222797852 321091022 366961168 389896241 445595704 642182044 779792482 891191408 1284364088 1559584964 2568728176 2729273687 3119169928 5458547374 6238339856 10917094748 21834189496 43668378992