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48448001257008 = 24373105331131267
BaseRepresentation
bin10110000010000001011011…
…11001111010111000110000
320100112120202111201021212020
423001000231321322320300
522322233001310211013
6251012412102031440
713130152430651553
oct1301005571727060
9210476674637766
1048448001257008
1114489755744541
125525669718580
13210581c4427c2
14bd6c77ddc69a
1559039c70a623
hex2c102de7ae30

48448001257008 has 80 divisors (see below), whose sum is σ = 126873991675776. Its totient is φ = 15927837442560.

The previous prime is 48448001256997. The next prime is 48448001257009. The reversal of 48448001257008 is 80075210084484.

It is a happy number.

It is a super-2 number, since 2×484480012570082 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48448001257009) 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, 369014191 + ... + 369145457.

Almost surely, 248448001257008 is an apocalyptic number.

48448001257008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48448001257008 is an abundant number, since it is smaller than the sum of its proper divisors (78425990418768).

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

48448001257008 is a wasteful number, since it uses less digits than its factorization.

48448001257008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236682 (or 236676 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 51.

The spelling of 48448001257008 in words is "forty-eight trillion, four hundred forty-eight billion, one million, two hundred fifty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3504 105331 131267 210662 262534 315993 393801 421324 525068 631986 787602 842648 1050136 1263972 1575204 1685296 2100272 2527944 3150408 5055888 6300816 7689163 9582491 15378326 19164982 23067489 28747473 30756652 38329964 46134978 57494946 61513304 76659928 92269956 114989892 123026608 153319856 184539912 229979784 369079824 459959568 13826484377 27652968754 41479453131 55305937508 82958906262 110611875016 165917812524 221223750032 331835625048 663671250096 1009333359521 2018666719042 3028000078563 4037333438084 6056000157126 8074666876168 12112000314252 16149333752336 24224000628504 48448001257008