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48509773920 = 2532558757389
BaseRepresentation
bin101101001011011010…
…000110100001100000
311122012201200211202100
4231023122012201200
51243322000231140
634141324450400
73335055163206
oct551332064140
9148181624670
1048509773920
1119633559153
1294999a9a00
1347610c044a
1424c2853076
1513ddb2b530
hexb4b686860

48509773920 has 144 divisors (see below), whose sum is σ = 165824502480. Its totient is φ = 12913677312.

The previous prime is 48509773913. The next prime is 48509773933. The reversal of 48509773920 is 2937790584.

48509773920 is a `hidden beast` number, since 48 + 509 + 7 + 7 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×485097739203 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 816586 + ... + 873974.

It is an arithmetic number, because the mean of its divisors is an integer number (1151559045).

Almost surely, 248509773920 is an apocalyptic number.

48509773920 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 48509773920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82912251240).

48509773920 is an abundant number, since it is smaller than the sum of its proper divisors (117314728560).

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

48509773920 is a wasteful number, since it uses less digits than its factorization.

48509773920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57997 (or 57986 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 48509773920 in words is "forty-eight billion, five hundred nine million, seven hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 587 720 1174 1440 1761 2348 2935 3522 4696 5283 5870 7044 8805 9392 10566 11740 14088 17610 18784 21132 23480 26415 28176 35220 42264 46960 52830 56352 57389 70440 84528 93920 105660 114778 140880 169056 172167 211320 229556 281760 286945 344334 422640 459112 516501 573890 688668 845280 860835 918224 1033002 1147780 1377336 1721670 1836448 2066004 2295560 2582505 2754672 3443340 4132008 4591120 5165010 5509344 6886680 8264016 9182240 10330020 13773360 16528032 20660040 27546720 33687343 41320080 67374686 82640160 101062029 134749372 168436715 202124058 269498744 303186087 336873430 404248116 505310145 538997488 606372174 673746860 808496232 1010620290 1077994976 1212744348 1347493720 1515930435 1616992464 2021240580 2425488696 2694987440 3031860870 3233984928 4042481160 4850977392 5389974880 6063721740 8084962320 9701954784 12127443480 16169924640 24254886960 48509773920