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48113238222252 = 223271967314931223
BaseRepresentation
bin10101111000010001111000…
…11110010010010110101100
320022100120200022000010101100
422330020330132102112230
522301241402441103002
6250154525544243100
713064031616055520
oct1274107436222654
9208316608003340
1048113238222252
111436a789737755
125490802170490
1320b009c51a958
14bc499c035d80
155868081c811c
hex2bc23c7925ac

48113238222252 has 144 divisors (see below), whose sum is σ = 146526670850560. Its totient is φ = 13003780414464.

The previous prime is 48113238222251. The next prime is 48113238222299. The reversal of 48113238222252 is 25222283231184.

48113238222252 is a `hidden beast` number, since 4 + 8 + 1 + 13 + 2 + 382 + 2 + 2 + 252 = 666.

48113238222252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 48113238222198 and 48113238222207.

It is not an unprimeable number, because it can be changed into a prime (48113238222251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4243288 + ... + 10687935.

Almost surely, 248113238222252 is an apocalyptic number.

48113238222252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48113238222252 is an abundant number, since it is smaller than the sum of its proper divisors (98413432628308).

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

48113238222252 is a wasteful number, since it uses less digits than its factorization.

48113238222252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14931932 (or 14931927 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 48113238222252 in words is "forty-eight trillion, one hundred thirteen billion, two hundred thirty-eight million, two hundred twenty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 673 684 798 1197 1346 1596 2019 2394 2692 4038 4711 4788 6057 8076 9422 12114 12787 14133 18844 24228 25574 28266 38361 42399 51148 56532 76722 84798 89509 115083 153444 169596 179018 230166 268527 358036 460332 537054 805581 1074108 1611162 3222324 14931223 29862446 44793669 59724892 89587338 104518561 134381007 179174676 209037122 268762014 283693237 313555683 418074244 537524028 567386474 627111366 851079711 940667049 1134772948 1254222732 1702159422 1881334098 1985852659 2553239133 3404318844 3762668196 3971705318 5106478266 5957557977 7943410636 10048713079 10212956532 11915115954 17872673931 20097426158 23830231908 30146139237 35745347862 40194852316 60292278474 70340991553 71490695724 90438417711 120584556948 140681983106 180876835422 190925548501 211022974659 281363966212 361753670844 381851097002 422045949318 572776645503 633068923977 763702194004 844091898636 1145553291006 1266137847954 1336478839507 1718329936509 2291106582012 2532275695908 2672957679014 3436659873018 4009436518521 5345915358028 6873319746036 8018873037042 12028309555563 16037746074084 24056619111126 48113238222252