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48337678400440 = 23511138450643077
BaseRepresentation
bin10101111110110011111100…
…01001100111101110111000
320100011000222220210111112111
422333121332021213232320
522313431031132303230
6250450004540222104
713116165506104402
oct1277317611475670
9210130886714474
1048337678400440
1114446992329520
1255081ba83a934
1320c82ba0a4410
14bd17addb5b72
1558c5920db92a
hex2bf67e267bb8

48337678400440 has 64 divisors (see below), whose sum is σ = 127773723339360. Its totient is φ = 16225234705920.

The previous prime is 48337678400399. The next prime is 48337678400477. The reversal of 48337678400440 is 4400487673384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4225315819 + ... + 4225327258.

Almost surely, 248337678400440 is an apocalyptic number.

48337678400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48337678400440 is an abundant number, since it is smaller than the sum of its proper divisors (79436044938920).

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

48337678400440 is a wasteful number, since it uses less digits than its factorization.

48337678400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8450643112 (or 8450643108 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 58.

The spelling of 48337678400440 in words is "forty-eight trillion, three hundred thirty-seven billion, six hundred seventy-eight million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 8450643077 16901286154 33802572308 42253215385 67605144616 84506430770 92957073847 109858360001 169012861540 185914147694 219716720002 338025723080 371828295388 439433440004 464785369235 549291800005 743656590776 878866880008 929570738470 1098583600010 1208441960011 1859141476940 2197167200020 2416883920022 3718282953880 4394334400040 4833767840044 6042209800055 9667535680088 12084419600110 24168839200220 48337678400440