Search a number
-
+
6105100496 = 2411223167821
BaseRepresentation
bin1011010111110010…
…00111000011010000
3120202110211020110012
411223321013003100
5100000401203441
62445445254052
7304201332545
oct55371070320
916673736405
106105100496
112653196400
121224704328
13763aa7001
1441cb6abcc
1525ae989eb
hex16be470d0

6105100496 has 120 divisors (see below), whose sum is σ = 13664875392. Its totient is φ = 2635283200.

The previous prime is 6105100481. The next prime is 6105100543. The reversal of 6105100496 is 6940015016.

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, 7435766 + ... + 7436586.

Almost surely, 26105100496 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 6105100496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6832437696).

6105100496 is an abundant number, since it is smaller than the sum of its proper divisors (7559774896).

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

6105100496 is a wasteful number, since it uses less digits than its factorization.

6105100496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 6105100496 is about 78135.1425160280. The cubic root of 6105100496 is about 1827.6692530770.

It can be divided in two parts, 6105 and 100496, that added together give a palindrome (106601).

The spelling of 6105100496 in words is "six billion, one hundred five million, one hundred thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 121 167 176 184 242 253 334 368 484 506 668 821 968 1012 1336 1642 1837 1936 2024 2672 2783 3284 3674 3841 4048 5566 6568 7348 7682 9031 11132 13136 14696 15364 18062 18883 20207 22264 29392 30728 36124 37766 40414 42251 44528 61456 72248 75532 80828 84502 99341 137107 144496 151064 161656 169004 198682 207713 274214 302128 323312 338008 397364 415426 464761 548428 676016 794728 830852 929522 1096856 1508177 1589456 1661704 1859044 2193712 2284843 3016354 3153461 3323408 3718088 4569686 6032708 6306922 7436176 9139372 12065416 12613844 16589947 18278744 24130832 25227688 33179894 34688071 36557488 50455376 66359788 69376142 132719576 138752284 265439152 277504568 381568781 555009136 763137562 1526275124 3052550248 6105100496