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49944166960 = 24523312573407
BaseRepresentation
bin101110100000111001…
…111000001000110000
311202220200202120002111
4232200321320020300
51304241201320320
634535524455104
73415443262132
oct564071701060
9152820676074
1049944166960
111a1aa1a8946
12981a24a494
13492c32161c
1425bb159052
151474a16a5a
hexba0e78230

49944166960 has 160 divisors (see below), whose sum is σ = 125601103872. Its totient is φ = 18415288320.

The previous prime is 49944166919. The next prime is 49944167059. The reversal of 49944166960 is 6966144994.

It is a junction number, because it is equal to n+sod(n) for n = 49944166895 and 49944166904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14657577 + ... + 14660983.

Almost surely, 249944166960 is an apocalyptic number.

49944166960 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 49944166960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62800551936).

49944166960 is an abundant number, since it is smaller than the sum of its proper divisors (75656936912).

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

49944166960 is a wasteful number, since it uses less digits than its factorization.

49944166960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 58.

The spelling of 49944166960 in words is "forty-nine billion, nine hundred forty-four million, one hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 155 184 230 248 257 310 368 460 496 514 620 713 920 1028 1240 1285 1426 1840 2056 2480 2570 2852 3407 3565 4112 5140 5704 5911 6814 7130 7967 10280 11408 11822 13628 14260 15934 17035 20560 23644 27256 28520 29555 31868 34070 39835 47288 54512 57040 59110 63736 68140 78361 79670 94576 105617 118220 127472 136280 156722 159340 183241 211234 236440 272560 313444 318680 366482 391805 422468 472880 528085 626888 637360 732964 783610 844936 875599 916205 1056170 1253776 1465928 1567220 1689872 1751198 1832410 2112340 2429191 2931856 3134440 3502396 3664820 4224680 4377995 4858382 6268880 7004792 7329640 8449360 8755990 9716764 12145955 14009584 14659280 17511980 19433528 20138777 24291910 27143569 35023960 38867056 40277554 48583820 54287138 70047920 80555108 97167640 100693885 108574276 135717845 161110216 194335280 201387770 217148552 271435690 322220432 402775540 434297104 542871380 624302087 805551080 1085742760 1248604174 1611102160 2171485520 2497208348 3121510435 4994416696 6243020870 9988833392 12486041740 24972083480 49944166960