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48344991168 = 2631736832131
BaseRepresentation
bin101101000001100101…
…100000010111000000
311121210020122000022110
4231001211200113000
51243002304204133
634113120535320
73331014434055
oct550145402700
9147706560273
1048344991168
111955953a461
129452781540
134735c16a66
1424a89db02c
1513ce42bc63
hexb419605c0

48344991168 has 112 divisors (see below), whose sum is σ = 128900992896. Its totient is φ = 15990881280.

The previous prime is 48344991137. The next prime is 48344991181. The reversal of 48344991168 is 86119944384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22685463 + ... + 22687593.

Almost surely, 248344991168 is an apocalyptic number.

48344991168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48344991168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64450496448).

48344991168 is an abundant number, since it is smaller than the sum of its proper divisors (80556001728).

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

48344991168 is a wasteful number, since it uses less digits than its factorization.

48344991168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2992 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 57.

The spelling of 48344991168 in words is "forty-eight billion, three hundred forty-four million, nine hundred ninety-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 173 192 346 519 683 692 1038 1366 1384 2049 2076 2131 2732 2768 4098 4152 4262 5464 5536 6393 8196 8304 8524 10928 11072 12786 16392 16608 17048 21856 25572 32784 33216 34096 43712 51144 65568 68192 102288 118159 131136 136384 204576 236318 354477 368663 409152 472636 708954 737326 945272 1105989 1417908 1455473 1474652 1890544 2211978 2835816 2910946 2949304 3781088 4366419 4423956 5671632 5821892 5898608 7562176 8732838 8847912 11343264 11643784 11797216 17465676 17695824 22686528 23287568 23594432 34931352 35391648 46575136 69862704 70783296 93150272 139725408 251796829 279450816 503593658 755390487 1007187316 1510780974 2014374632 3021561948 4028749264 6043123896 8057498528 12086247792 16114997056 24172495584 48344991168