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48789133440 = 2735139182813
BaseRepresentation
bin101101011100000011…
…110001100010000000
311122221012100202222020
4231130003301202000
51244410004232230
634225144241440
73345016535355
oct553403614200
9148835322866
1048789133440
1119767215093
129557470280
1347a6c42438
14250b9b262c
15140840e810
hexb5c0f1880

48789133440 has 128 divisors (see below), whose sum is σ = 156635035200. Its totient is φ = 12916764672.

The previous prime is 48789133439. The next prime is 48789133447. The reversal of 48789133440 is 4433198784.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×487891334402 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48789133447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175474 + ... + 358286.

Almost surely, 248789133440 is an apocalyptic number.

48789133440 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 48789133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78317517600).

48789133440 is an abundant number, since it is smaller than the sum of its proper divisors (107845901760).

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

48789133440 is a wasteful number, since it uses less digits than its factorization.

48789133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182974 (or 182962 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 48789133440 in words is "forty-eight billion, seven hundred eighty-nine million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 139 160 192 240 278 320 384 417 480 556 640 695 834 960 1112 1390 1668 1920 2085 2224 2780 3336 4170 4448 5560 6672 8340 8896 11120 13344 16680 17792 22240 26688 33360 44480 53376 66720 88960 133440 182813 266880 365626 548439 731252 914065 1096878 1462504 1828130 2193756 2742195 2925008 3656260 4387512 5484390 5850016 7312520 8775024 10968780 11700032 14625040 17550048 21937560 23400064 25411007 29250080 35100096 43875120 50822014 58500160 70200192 76233021 87750240 101644028 117000320 127055035 152466042 175500480 203288056 254110070 304932084 351000960 381165105 406576112 508220140 609864168 762330210 813152224 1016440280 1219728336 1524660420 1626304448 2032880560 2439456672 3049320840 3252608896 4065761120 4878913344 6098641680 8131522240 9757826688 12197283360 16263044480 24394566720 48789133440