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47492067666204 = 223271732237486977
BaseRepresentation
bin10101100110001100110111…
…10100101010100100011100
320020011012022212000101121200
422303012123310222210130
522211102223310304304
6245001315451355500
713001121465336660
oct1263063364524434
9206135285011550
1047492067666204
111415030009a047
1253b0345452b90
132066637830205
14ba28b22428a0
1557559e96ce39
hex2b319bd2a91c

47492067666204 has 144 divisors (see below), whose sum is σ = 138054336009408. Its totient is φ = 13484669313024.

The previous prime is 47492067666161. The next prime is 47492067666217. The reversal of 47492067666204 is 40266676029474.

It is a happy number.

47492067666204 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 2×474920676662042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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, 97280764 + ... + 97767740.

It is an arithmetic number, because the mean of its divisors is an integer number (958710666732).

Almost surely, 247492067666204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47492067666204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69027168004704).

47492067666204 is an abundant number, since it is smaller than the sum of its proper divisors (90562268343204).

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

47492067666204 is a wasteful number, since it uses less digits than its factorization.

47492067666204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489404 (or 489399 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 47492067666204 in words is "forty-seven trillion, four hundred ninety-two billion, sixty-seven million, six hundred sixty-six thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 173 252 346 519 692 1038 1211 1557 2076 2237 2422 3114 3633 4474 4844 6228 6711 7266 8948 10899 13422 14532 15659 20133 21798 26844 31318 40266 43596 46977 62636 80532 93954 140931 187908 281862 387001 486977 563724 774002 973954 1161003 1460931 1548004 1947908 2322006 2709007 2921862 3408839 3483009 4382793 4644012 5418014 5843724 6817678 6966018 8127021 8765586 10226517 10836028 13635356 13932036 16254042 17531172 20453034 24381063 30679551 32508084 40906068 48762126 61359102 84247021 97524252 122718204 168494042 252741063 336988084 505482126 589729147 758223189 1010964252 1089367549 1179458294 1516446378 1769187441 2178735098 2358916588 3032892756 3268102647 3538374882 4357470196 5307562323 6536205294 7076749764 7625572843 9804307941 10615124646 13072410588 15251145686 19608615882 21230249292 22876718529 30502291372 39217231764 45753437058 68630155587 91506874116 137260311174 188460585977 274520622348 376921171954 565381757931 753842343908 1130763515862 1319224101839 1696145273793 2261527031724 2638448203678 3392290547586 3957672305517 5276896407356 6784581095172 7915344611034 11873016916551 15830689222068 23746033833102 47492067666204