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43093997680 = 24517293729531
BaseRepresentation
bin101000001000100110…
…100011100001110000
311010020021221220102011
4220020212203201300
51201224030411210
631444101532304
73053623636126
oct501046434160
9133207856364
1043093997680
1117304490318
128428114094
1340aa088516
14212b481916
1511c3446d8a
hexa089a3870

43093997680 has 160 divisors (see below), whose sum is σ = 112715375040. Its totient is φ = 15240314880.

The previous prime is 43093997671. The next prime is 43093997701. The reversal of 43093997680 is 8679939034.

It is a Harshad number since it is a multiple of its sum of digits (58).

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 31 ways as a sum of consecutive naturals, for example, 1444515 + ... + 1474045.

It is an arithmetic number, because the mean of its divisors is an integer number (704471094).

Almost surely, 243093997680 is an apocalyptic number.

43093997680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43093997680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56357687520).

43093997680 is an abundant number, since it is smaller than the sum of its proper divisors (69621377360).

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

43093997680 is a wasteful number, since it uses less digits than its factorization.

43093997680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29627 (or 29621 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 58.

The spelling of 43093997680 in words is "forty-three billion, ninety-three million, nine hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 37 40 58 68 74 80 85 116 136 145 148 170 185 232 272 290 296 340 370 464 493 580 592 629 680 740 986 1073 1160 1258 1360 1480 1972 2146 2320 2465 2516 2960 3145 3944 4292 4930 5032 5365 6290 7888 8584 9860 10064 10730 12580 17168 18241 19720 21460 25160 29531 36482 39440 42920 50320 59062 72964 85840 91205 118124 145928 147655 182410 236248 291856 295310 364820 472496 502027 590620 729640 856399 1004054 1092647 1181240 1459280 1712798 2008108 2185294 2362480 2510135 3425596 4016216 4281995 4370588 5020270 5463235 6851192 8032432 8563990 8741176 10040540 10926470 13702384 14558783 17127980 17482352 18574999 20081080 21852940 29117566 31686763 34255960 37149998 40162160 43705880 58235132 63373526 68511920 72793915 74299996 87411760 92874995 116470264 126747052 145587830 148599992 158433815 185749990 232940528 253494104 291175660 297199984 316867630 371499980 506988208 538674971 582351320 633735260 742999960 1077349942 1164702640 1267470520 1485999920 2154699884 2534941040 2693374855 4309399768 5386749710 8618799536 10773499420 21546998840 43093997680