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48484509456 = 24317118150311
BaseRepresentation
bin101101001001111001…
…101110011100010000
311122010222011021102110
4231021321232130100
51243244013300311
634135023145320
73334330346655
oct551171563420
9148128137373
1048484509456
1119620272629
129491445240
134758ab5a66
1424bd357c2c
1513db7da8a6
hexb49e6e710

48484509456 has 80 divisors (see below), whose sum is σ = 132734325888. Its totient is φ = 15197644800.

The previous prime is 48484509431. The next prime is 48484509467. The reversal of 48484509456 is 65490548484.

48484509456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 48484509396 and 48484509405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 938541 + ... + 988851.

Almost surely, 248484509456 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 48484509456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66367162944).

48484509456 is an abundant number, since it is smaller than the sum of its proper divisors (84249816432).

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

48484509456 is a wasteful number, since it uses less digits than its factorization.

48484509456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51520 (or 51514 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 57.

The spelling of 48484509456 in words is "forty-eight billion, four hundred eighty-four million, five hundred nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1181 2362 3543 4724 7086 9448 14172 18896 20077 28344 40154 50311 56688 60231 80308 100622 120462 150933 160616 201244 240924 301866 321232 402488 481848 603732 804976 855287 963696 1207464 1710574 2414928 2565861 3421148 5131722 6842296 10263444 13684592 20526888 41053776 59417291 118834582 178251873 237669164 356503746 475338328 713007492 950676656 1010093947 1426014984 2020187894 2852029968 3030281841 4040375788 6060563682 8080751576 12121127364 16161503152 24242254728 48484509456