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42321263796 = 223272922325969
BaseRepresentation
bin100111011010100010…
…110011110010110100
311001020102220221210200
4213122202303302310
51143133220420141
631235255320500
73025521543510
oct473242636264
9131212827720
1042321263796
1116a48282979
128251380130
133cb5c61136
1420969b3140
15117a6a8ab6
hex9da8b3cb4

42321263796 has 144 divisors (see below), whose sum is σ = 127049395200. Its totient is φ = 11622030336.

The previous prime is 42321263771. The next prime is 42321263801. The reversal of 42321263796 is 69736212324.

42321263796 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 1 + 2 + 637 + 9 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1616700 + ... + 1642668.

Almost surely, 242321263796 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 42321263796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63524697600).

42321263796 is an abundant number, since it is smaller than the sum of its proper divisors (84728131404).

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

42321263796 is a wasteful number, since it uses less digits than its factorization.

42321263796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26238 (or 26233 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

It can be divided in two parts, 4232 and 1263796, that added together give a triangular number (1268028 = T1592).

The spelling of 42321263796 in words is "forty-two billion, three hundred twenty-one million, two hundred sixty-three thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 223 252 261 348 406 446 522 609 669 812 892 1044 1218 1338 1561 1827 2007 2436 2676 3122 3654 4014 4683 6244 6467 7308 8028 9366 12934 14049 18732 19401 25868 25969 28098 38802 45269 51938 56196 58203 77604 77907 90538 103876 116406 135807 155814 181076 181783 232812 233721 271614 311628 363566 407421 467442 543228 545349 727132 753101 814842 934884 1090698 1506202 1629684 1636047 2181396 2259303 3012404 3272094 4518606 5271707 5791087 6544188 6777909 9037212 10543414 11582174 13555818 15815121 17373261 21086828 23164348 27111636 31630242 34746522 40537609 47445363 52119783 63260484 69493044 81075218 94890726 104239566 121612827 162150436 167941523 189781452 208479132 243225654 335883046 364838481 486451308 503824569 671766092 729676962 1007649138 1175590661 1459353924 1511473707 2015298276 2351181322 3022947414 3526771983 4702362644 6045894828 7053543966 10580315949 14107087932 21160631898 42321263796