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2073070117476 = 22321731113966991
BaseRepresentation
bin11110001010101100100…
…110111010001001100100
321100011221211011102021100
4132022230212322021210
5232431121422224401
64224204423120100
7302526416153361
oct36125446721144
97304854142240
102073070117476
1172a203044626
12295936ba3030
13120649a73387
14724a1121468
1538dd2dd2b86
hex1e2ac9ba264

2073070117476 has 144 divisors (see below), whose sum is σ = 5778187204608. Its totient is φ = 623824588800.

The previous prime is 2073070117423. The next prime is 2073070117477. The reversal of 2073070117476 is 6747110703702.

It is a happy number.

2073070117476 is a `hidden beast` number, since 207 + 307 + 0 + 1 + 1 + 74 + 76 = 666.

It is a super-2 number, since 2×20730701174762 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2073070117477) 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, 1660341 + ... + 2627331.

It is an arithmetic number, because the mean of its divisors is an integer number (40126300032).

Almost surely, 22073070117476 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 2073070117476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889093602304).

2073070117476 is an abundant number, since it is smaller than the sum of its proper divisors (3705117087132).

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

2073070117476 is a wasteful number, since it uses less digits than its factorization.

2073070117476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967162 (or 967157 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 2073070117476 in words is "two trillion, seventy-three billion, seventy million, one hundred seventeen thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 113 124 153 186 204 226 279 306 339 372 452 527 558 612 678 1017 1054 1116 1356 1581 1921 2034 2108 3162 3503 3842 4068 4743 5763 6324 7006 7684 9486 10509 11526 14012 17289 18972 21018 23052 31527 34578 42036 59551 63054 69156 119102 126108 178653 238204 357306 535959 714612 966991 1071918 1933982 2143836 2900973 3867964 5801946 8702919 11603892 16438847 17405838 29976721 32877694 34811676 49316541 59953442 65755388 89930163 98633082 109269983 119906884 147949623 179860326 197266164 218539966 269790489 295899246 327809949 359720652 437079932 509604257 539580978 591798492 655619898 983429847 1019208514 1079161956 1311239796 1528812771 1857589711 1966859694 2038417028 3057625542 3387369473 3715179422 3933719388 4586438313 5572769133 6115251084 6774738946 7430358844 9172876626 10162108419 11145538266 13549477892 16718307399 18345753252 20324216838 22291076532 30486325257 33436614798 40648433676 57585281041 60972650514 66873229596 115170562082 121945301028 172755843123 230341124164 345511686246 518267529369 691023372492 1036535058738 2073070117476