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48608818816 = 277917892687
BaseRepresentation
bin101101010001010011…
…111011011010000000
311122110122001211210211
4231101103323122000
51244022324200231
634155223403504
73340400066635
oct552123733200
9148418054724
1048608818816
1119684458038
129506bb3594
13477878b2ac
1424d1a7618c
1513e7692eb1
hexb514fb680

48608818816 has 64 divisors (see below), whose sum is σ = 98155008000. Its totient is φ = 23974419456.

The previous prime is 48608818807. The next prime is 48608818823. The reversal of 48608818816 is 61881880684.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18089025 + ... + 18091711.

It is an arithmetic number, because the mean of its divisors is an integer number (1533672000).

Almost surely, 248608818816 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 48608818816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49077504000).

48608818816 is an abundant number, since it is smaller than the sum of its proper divisors (49546189184).

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

48608818816 is a wasteful number, since it uses less digits than its factorization.

48608818816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 58.

The spelling of 48608818816 in words is "forty-eight billion, six hundred eight million, eight hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 1789 2528 2687 3578 5056 5374 7156 10112 10748 14312 21496 28624 42992 57248 85984 114496 141331 171968 212273 228992 282662 343936 424546 565324 849092 1130648 1698184 2261296 3396368 4522592 4807043 6792736 9045184 9614086 13585472 18090368 19228172 27170944 38456344 76912688 153825376 307650752 379756397 615301504 759512794 1519025588 3038051176 6076102352 12152204704 24304409408 48608818816