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48853066035884 = 221122943690711719
BaseRepresentation
bin10110001101110011111011…
…01001011011001010101100
320101222022022011120002022212
423012321331221123022230
522400402034401122014
6251522442210025552
713201342342530005
oct1306717551331254
9211868264502285
1048853066035884
11146255181a9200
125590074b782b8
132134a94170906
14c0c702ac61ac
1559aba8aa423e
hex2c6e7da5b2ac

48853066035884 has 144 divisors (see below), whose sum is σ = 99495526099200. Its totient is φ = 20936788709760.

The previous prime is 48853066035883. The next prime is 48853066035931.

48853066035884 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×488530660358843 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (48853066035883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4168700177 + ... + 4168711895.

Almost surely, 248853066035884 is an apocalyptic number.

48853066035884 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48853066035884 is an abundant number, since it is smaller than the sum of its proper divisors (50642460063316).

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

48853066035884 is a wasteful number, since it uses less digits than its factorization.

48853066035884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18724 (or 18711 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 68.

The spelling of 48853066035884 in words is "forty-eight trillion, eight hundred fifty-three billion, sixty-six million, thirty-five thousand, eight hundred eighty-four".

Divisors: 1 2 4 11 22 29 43 44 58 86 116 121 172 242 319 473 484 638 946 1247 1276 1892 2494 3509 4988 5203 6907 7018 10406 11719 13717 13814 14036 20812 23438 27434 27628 46876 54868 75977 128909 150887 151954 200303 257818 297001 301774 303908 339851 400606 503917 515636 594002 603548 679702 801212 835747 1007834 1188004 1359404 1417999 1671494 2015668 2203333 2835998 3267011 3342988 3738361 4406666 5543087 5671996 6534022 7476722 8613029 8813332 11086174 13068044 14613593 14953444 17226058 22172348 24236663 29227186 34452116 35937121 41121971 48473326 58454372 60973957 71874242 80943133 82243942 94743319 96946652 121947914 143748484 160749523 161886266 164487884 189486638 243895828 321499046 323772532 378973276 642998092 890374463 1042176509 1768244753 1780748926 2084353018 2347350857 3480554719 3536489506 3561497852 4168706036 4694701714 6961109438 7072979012 9389403428 9794119093 13922218876 19588238186 25820859427 38286101909 39176476372 51641718854 76572203818 100936086851 103283437708 153144407636 201872173702 284029453697 403744347404 421147120999 568058907394 842294241998 1110296955361 1136117814788 1684588483996 2220593910722 4441187821444 12213266508971 24426533017942 48853066035884