Search a number
-
+
4006604073078 = 23217149136164567
BaseRepresentation
bin111010010011011100001…
…101100110100001110110
3112012000202010102101002100
4322103130031212201312
51011121011120314303
612304335234122530
7562316245463355
oct72233415464166
915160663371070
104006604073078
111305211602502
1254860b720446
13230a8a087c99
14dbcc647599c
156e34ab678a3
hex3a4dc366876

4006604073078 has 96 divisors (see below), whose sum is σ = 9260252164800. Its totient is φ = 1247601070080.

The previous prime is 4006604073023. The next prime is 4006604073079. The reversal of 4006604073078 is 8703704066004.

4006604073078 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 604 + 0 + 7 + 30 + 7 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006604073079) 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, 62021151 + ... + 62085717.

It is an arithmetic number, because the mean of its divisors is an integer number (96460960050).

Almost surely, 24006604073078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4006604073078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630126082400).

4006604073078 is an abundant number, since it is smaller than the sum of its proper divisors (5253648091722).

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

4006604073078 is a wasteful number, since it uses less digits than its factorization.

4006604073078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66102 (or 66099 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 4006604073078 in words is "four trillion, six billion, six hundred four million, seventy-three thousand, seventy-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 149 153 298 306 447 894 1341 1361 2533 2682 2722 4083 5066 7599 8166 12249 15198 22797 23137 24498 45594 46274 64567 69411 129134 138822 193701 202789 208233 387402 405578 416466 581103 608367 1097639 1162206 1216734 1825101 2195278 3292917 3447413 3650202 6585834 6894826 9620483 9878751 10342239 19240966 19757502 20684478 28861449 31026717 57722898 62053434 86584347 87875687 163548211 173168694 175751374 263627061 327096422 490644633 527254122 790881183 981289266 1471933899 1493886679 1581762366 2943867798 2987773358 4481660037 8963320074 13093477363 13444980111 26186954726 26889960222 39280432089 78560864178 117841296267 222589115171 235682592534 445178230342 667767345513 1335534691026 2003302036539 4006604073078