Search a number
-
+
2916540015004 = 2272111571861079
BaseRepresentation
bin101010011100001111010…
…101001110000110011100
3101022211002200120202022201
4222130033111032012130
5340241033220440004
610111501234221244
7420466403042500
oct52341725160634
911284080522281
102916540015004
11a24996893770
123b12b3424824
1318204a92c0b5
14a1238818300
1550cec61e6a4
hex2a70f54e19c

2916540015004 has 72 divisors (see below), whose sum is σ = 6481121834880. Its totient is φ = 1135589666400.

The previous prime is 2916540014987. The next prime is 2916540015061. The reversal of 2916540015004 is 4005100456192.

2916540015004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2956537 + ... + 3817615.

It is an arithmetic number, because the mean of its divisors is an integer number (90015581040).

Almost surely, 22916540015004 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 2916540015004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240560917440).

2916540015004 is an abundant number, since it is smaller than the sum of its proper divisors (3564581819876).

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

2916540015004 is a wasteful number, since it uses less digits than its factorization.

2916540015004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862679 (or 862670 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 2916540015004 in words is "two trillion, nine hundred sixteen billion, five hundred forty million, fifteen thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1078 1571 2156 3142 6284 10997 17281 21994 34562 43988 69124 76979 120967 153958 241934 307916 483868 846769 861079 1693538 1722158 3387076 3444316 6027553 9471869 12055106 18943738 24110212 37887476 42192871 66303083 84385742 132606166 168771484 265212332 464121581 928243162 1352755109 1856486324 2705510218 5411020436 9469285763 14880306199 18938571526 29760612398 37877143052 59521224796 66285000341 104162143393 132570000682 208324286786 265140001364 416648573572 729135003751 1458270007502 2916540015004