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9942043950 = 2335247156691
BaseRepresentation
bin10010100001001011…
…11000110100101110
3221122212201011101000
421100211320310232
5130330130401300
64322312301130
7501241656606
oct112045706456
927585634330
109942043950
11424202a853
121b156a17a6
13c259a7957
146a4597c06
153d2c60c00
hex250978d2e

9942043950 has 96 divisors (see below), whose sum is σ = 27978923520. Its totient is φ = 2594786400.

The previous prime is 9942043919. The next prime is 9942043999. The reversal of 9942043950 is 593402499.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 9942043896 and 9942043905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14896 + ... + 141795.

It is an arithmetic number, because the mean of its divisors is an integer number (291447120).

Almost surely, 29942043950 is an apocalyptic number.

9942043950 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9942043950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13989461760).

9942043950 is an abundant number, since it is smaller than the sum of its proper divisors (18036879570).

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

9942043950 is a wasteful number, since it uses less digits than its factorization.

9942043950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156759 (or 156748 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 9942043950 is about 99709.7986659285. The cubic root of 9942043950 is about 2150.2645392900.

The spelling of 9942043950 in words is "nine billion, nine hundred forty-two million, forty-three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 47 50 54 75 90 94 135 141 150 225 235 270 282 423 450 470 675 705 846 1175 1269 1350 1410 2115 2350 2538 3525 4230 6345 7050 10575 12690 21150 31725 63450 156691 313382 470073 783455 940146 1410219 1566910 2350365 2820438 3917275 4230657 4700730 7051095 7364477 7834550 8461314 11751825 14102190 14728954 21153285 22093431 23503650 35255475 36822385 42306570 44186862 66280293 70510950 73644770 105766425 110467155 132560586 184111925 198840879 211532850 220934310 331401465 368223850 397681758 552335775 662802930 994204395 1104671550 1657007325 1988408790 3314014650 4971021975 9942043950