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48253411749120 = 283567187552129
BaseRepresentation
bin10101111100010110111110…
…11101110110110100000000
320022211222111020020002020120
422332023133131312310000
522311040441401432440
6250343151125340240
713110123345303204
oct1276133735666400
9208758436202216
1048253411749120
111441417aa72126
1254b3a01b67680
1320c037b028366
14bcb698714b04
1558a2ae274dd0
hex2be2df776d00

48253411749120 has 144 divisors (see below), whose sum is σ = 156409473917760. Its totient is φ = 12675523018752.

The previous prime is 48253411749119. The next prime is 48253411749173. The reversal of 48253411749120 is 2194711435284.

48253411749120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×482534117491202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93518785 + ... + 94033344.

Almost surely, 248253411749120 is an apocalyptic number.

48253411749120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48253411749120 is an abundant number, since it is smaller than the sum of its proper divisors (108156062168640).

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

48253411749120 is a wasteful number, since it uses less digits than its factorization.

48253411749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187552220 (or 187552206 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 48253411749120 in words is "forty-eight trillion, two hundred fifty-three billion, four hundred eleven million, seven hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 128 134 160 192 201 240 256 268 320 335 384 402 480 536 640 670 768 804 960 1005 1072 1280 1340 1608 1920 2010 2144 2680 3216 3840 4020 4288 5360 6432 8040 8576 10720 12864 16080 17152 21440 25728 32160 42880 51456 64320 85760 128640 257280 187552129 375104258 562656387 750208516 937760645 1125312774 1500417032 1875521290 2250625548 2813281935 3000834064 3751042580 4501251096 5626563870 6001668128 7502085160 9002502192 11253127740 12003336256 12565992643 15004170320 18005004384 22506255480 24006672512 25131985286 30008340640 36010008768 37697977929 45012510960 48013345024 50263970572 60016681280 62829963215 72020017536 75395955858 90025021920 100527941144 120033362560 125659926430 144040035072 150791911716 180050043840 188489889645 201055882288 240066725120 251319852860 301583823432 360100087680 376979779290 402111764576 502639705720 603167646864 720200175360 753959558580 804223529152 1005279411440 1206335293728 1507919117160 1608447058304 2010558822880 2412670587456 3015838234320 3216894116608 4021117645760 4825341174912 6031676468640 8042235291520 9650682349824 12063352937280 16084470583040 24126705874560 48253411749120