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250242066640 = 24541599713331
BaseRepresentation
bin1110100100001110010…
…1101110100011010000
3212220220210121010010101
43221003211232203100
513044443432113030
6310543135542144
724036142320256
oct3510345564320
9786823533111
10250242066640
1197144139525
12405b968a954
131a7a02845a7
14c17ca245d6
1567991d27ca
hex3a4396e8d0

250242066640 has 160 divisors (see below), whose sum is σ = 612399553920. Its totient is φ = 95003443200.

The previous prime is 250242066629. The next prime is 250242066643. The reversal of 250242066640 is 46660242052.

250242066640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 250242066640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250242066643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18764775 + ... + 18778105.

It is an arithmetic number, because the mean of its divisors is an integer number (3827497212).

Almost surely, 2250242066640 is an apocalyptic number.

250242066640 is a gapful number since it is divisible by the number (20) 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 250242066640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306199776960).

250242066640 is an abundant number, since it is smaller than the sum of its proper divisors (362157487280).

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

250242066640 is a wasteful number, since it uses less digits than its factorization.

250242066640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13541 (or 13535 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 250242066640 in words is "two hundred fifty billion, two hundred forty-two million, sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 59 80 82 97 118 164 194 205 236 295 328 388 410 472 485 590 656 776 820 944 970 1180 1552 1640 1940 2360 2419 3280 3880 3977 4720 4838 5723 7760 7954 9676 11446 12095 13331 15908 19352 19885 22892 24190 26662 28615 31816 38704 39770 45784 48380 53324 57230 63632 66655 79540 91568 96760 106648 114460 133310 159080 193520 213296 228920 234643 266620 318160 457840 469286 533240 546571 786529 938572 1066480 1093142 1173215 1293107 1573058 1877144 2186284 2346430 2586214 2732855 3146116 3754288 3932645 4372568 4692860 5172428 5465710 6292232 6465535 7865290 8745136 9385720 10344856 10931420 12584464 12931070 15730580 18771440 20689712 21862840 25862140 31461160 32247689 43725680 51724280 53017387 62922320 64495378 76293313 103448560 106034774 128990756 152586626 161238445 212069548 257981512 265086935 305173252 322476890 381466565 424139096 515963024 530173870 610346504 644953780 762933130 848278192 1060347740 1220693008 1289907560 1525866260 2120695480 2579815120 3051732520 3128025833 4241390960 6103465040 6256051666 12512103332 15640129165 25024206664 31280258330 50048413328 62560516660 125121033320 250242066640