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48114217872 = 2432747732359
BaseRepresentation
bin101100110011110101…
…001011001110010000
311121012011101111212100
4230303311023032100
51242014214432442
634034154400400
73322213050450
oct546365131620
9147164344770
1048114217872
1119450249026
1293a9430100
1346ca176806
1424860c7d60
1513b904484c
hexb33d4b390

48114217872 has 60 divisors (see below), whose sum is σ = 153889128640. Its totient is φ = 13746919104.

The previous prime is 48114217871. The next prime is 48114217903. The reversal of 48114217872 is 27871241184.

48114217872 is a `hidden beast` number, since 481 + 14 + 21 + 78 + 72 = 666.

48114217872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×481142178722 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48114217871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23865172 + ... + 23867187.

Almost surely, 248114217872 is an apocalyptic number.

48114217872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48114217872 is an abundant number, since it is smaller than the sum of its proper divisors (105774910768).

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

48114217872 is a wasteful number, since it uses less digits than its factorization.

48114217872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47732380 (or 47732371 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The spelling of 48114217872 in words is "forty-eight billion, one hundred fourteen million, two hundred seventeen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 47732359 95464718 143197077 190929436 286394154 334126513 381858872 429591231 572788308 668253026 763717744 859182462 1002379539 1145576616 1336506052 1718364924 2004759078 2291153232 2673012104 3007138617 3436729848 4009518156 5346024208 6014277234 6873459696 8019036312 12028554468 16038072624 24057108936 48114217872