Search a number
-
+
48979046700672 = 2731123834865891
BaseRepresentation
bin10110010001011110100101…
…01011100001011010000000
320102102100110222101221120120
423020233102223201122000
522404433041423410142
6252100355144540240
713213422302520624
oct1310572253413200
9212370428357516
1048979046700672
1114673995a882a0
1255b0573781680
13214392041408a
14c14854447184
1559e0cdb237ec
hex2c8bd2ae1680

48979046700672 has 128 divisors (see below), whose sum is σ = 141987507102720. Its totient is φ = 14835903974400.

The previous prime is 48979046700671. The next prime is 48979046700673. The reversal of 48979046700672 is 27600764097984.

It is an interprime number because it is at equal distance from previous prime (48979046700671) and next prime (48979046700673).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 48979046700597 and 48979046700606.

It is not an unprimeable number, because it can be changed into a prime (48979046700671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7632847 + ... + 12498737.

It is an arithmetic number, because the mean of its divisors is an integer number (1109277399240).

Almost surely, 248979046700672 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 48979046700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70993753551360).

48979046700672 is an abundant number, since it is smaller than the sum of its proper divisors (93008460402048).

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

48979046700672 is a wasteful number, since it uses less digits than its factorization.

48979046700672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4868302 (or 4868290 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 69.

The spelling of 48979046700672 in words is "forty-eight trillion, nine hundred seventy-nine billion, forty-six million, seven hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 2383 4224 4766 7149 9532 14298 19064 26213 28596 38128 52426 57192 76256 78639 104852 114384 152512 157278 209704 228768 305024 314556 419408 457536 629112 838816 915072 1258224 1677632 2516448 3355264 4865891 5032896 9731782 10065792 14597673 19463564 29195346 38927128 53524801 58390692 77854256 107049602 116781384 155708512 160574403 214099204 233562768 311417024 321148806 428198408 467125536 622834048 642297612 856396816 934251072 1284595224 1712793632 1868502144 2569190448 3425587264 5138380896 6851174528 10276761792 11595418253 20553523584 23190836506 34786254759 46381673012 69572509518 92763346024 127549600783 139145019036 185526692048 255099201566 278290038072 371053384096 382648802349 510198403132 556580076144 742106768192 765297604698 1020396806264 1113160152288 1484213536384 1530595209396 2040793612528 2226320304576 3061190418792 4081587225056 4452640609152 6122380837584 8163174450112 12244761675168 16326348900224 24489523350336 48979046700672