Search a number
-
+
2809924958082 = 23113747193126851
BaseRepresentation
bin101000111000111100100…
…101000011011110000010
3100221121220111112200220210
4220320330211003132002
5332014211242124312
65550510043414550
7410003363025654
oct50707445033602
910847814480823
102809924958082
11993756425480
123946ba224456
13174c897b57b8
149a0030026d4
154d15c7a7e3c
hex28e3c943782

2809924958082 has 128 divisors (see below), whose sum is σ = 6463777148928. Its totient is φ = 806644224000.

The previous prime is 2809924958053. The next prime is 2809924958147. The reversal of 2809924958082 is 2808594299082.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 63 ways as a sum of consecutive naturals, for example, 22087957 + ... + 22214807.

It is an arithmetic number, because the mean of its divisors is an integer number (50498258976).

Almost surely, 22809924958082 is an apocalyptic number.

2809924958082 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2809924958082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231888574464).

2809924958082 is an abundant number, since it is smaller than the sum of its proper divisors (3653852190846).

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

2809924958082 is a wasteful number, since it uses less digits than its factorization.

2809924958082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127144.

The product of its (nonzero) digits is 59719680, while the sum is 66.

The spelling of 2809924958082 in words is "two trillion, eight hundred nine billion, nine hundred twenty-four million, nine hundred fifty-eight thousand, eighty-two".

Divisors: 1 2 3 6 11 22 33 37 47 66 74 94 111 141 193 222 282 386 407 517 579 814 1034 1158 1221 1551 1739 2123 2442 3102 3478 4246 5217 6369 7141 9071 10434 12738 14282 18142 19129 21423 27213 38258 42846 54426 57387 78551 99781 114774 126851 157102 199562 235653 253702 299343 335627 380553 471306 598686 671254 761106 1006881 1395361 2013762 2790722 3691897 4186083 4693487 5961997 7383794 8372166 9386974 11075691 11923994 14080461 17885991 22151382 24482243 28160922 35771982 48964486 51628357 65581967 73446729 103256714 131163934 146893458 154885071 196745901 220593889 269304673 309770142 393491802 441187778 538609346 661781667 807914019 905842991 1150665421 1323563334 1615828038 1811685982 2301330842 2426532779 2717528973 3451996263 4853065558 5435057946 6903992526 7279598337 9964272901 12657319631 14559196674 19928545802 25314639262 29892818703 37971958893 42574620577 59785637406 75943917786 85149241154 127723861731 255447723462 468320826347 936641652694 1404962479041 2809924958082