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43748878640 = 2451943965563
BaseRepresentation
bin101000101111101000…
…101110100100110000
311011220221020022012112
4220233220232210300
51204044203104030
632033054144452
73106065222065
oct505750564460
9134827208175
1043748878640
1117610113055
12858b4b2128
13418295b04c
142190432c6c
151210ba5a95
hexa2fa2e930

43748878640 has 80 divisors (see below), whose sum is σ = 107315155200. Its totient is φ = 16540505856.

The previous prime is 43748878639. The next prime is 43748878651. The reversal of 43748878640 is 4687884734.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 43748878640.

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 15 ways as a sum of consecutive naturals, for example, 634499 + ... + 700061.

It is an arithmetic number, because the mean of its divisors is an integer number (1341439440).

Almost surely, 243748878640 is an apocalyptic number.

43748878640 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 43748878640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53657577600).

43748878640 is an abundant number, since it is smaller than the sum of its proper divisors (63566276560).

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

43748878640 is a wasteful number, since it uses less digits than its factorization.

43748878640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66034 (or 66028 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 59.

The spelling of 43748878640 in words is "forty-three billion, seven hundred forty-eight million, eight hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 439 760 878 1520 1756 2195 3512 4390 7024 8341 8780 16682 17560 33364 35120 41705 65563 66728 83410 131126 133456 166820 262252 327815 333640 524504 655630 667280 1049008 1245697 1311260 2491394 2622520 4982788 5245040 6228485 9965576 12456970 19931152 24913940 28782157 49827880 57564314 99655760 115128628 143910785 230257256 287821570 460514512 546860983 575643140 1093721966 1151286280 2187443932 2302572560 2734304915 4374887864 5468609830 8749775728 10937219660 21874439320 43748878640