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48776086912 = 2771492831291
BaseRepresentation
bin101101011011010010…
…000000010110000000
311122220021210221111111
4231123102000112000
51244343134240122
634224000453104
73344500620010
oct553322002600
9148807727444
1048776086912
111975a914033
12955301a194
1347a4324cb7
142509d77c40
1514071d3d77
hexb5b480580

48776086912 has 128 divisors (see below), whose sum is σ = 112279968000. Its totient is φ = 20674344960.

The previous prime is 48776086889. The next prime is 48776086943. The reversal of 48776086912 is 21968067784.

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

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, 37780987 + ... + 37782277.

It is an arithmetic number, because the mean of its divisors is an integer number (877187250).

Almost surely, 248776086912 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 48776086912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56139984000).

48776086912 is an abundant number, since it is smaller than the sum of its proper divisors (63503881088).

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

48776086912 is a wasteful number, since it uses less digits than its factorization.

48776086912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 58.

The spelling of 48776086912 in words is "forty-eight billion, seven hundred seventy-six million, eighty-six thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 149 224 283 298 448 566 596 896 1043 1132 1192 1291 1981 2086 2264 2384 2582 3962 4172 4528 4768 5164 7924 8344 9037 9056 9536 10328 15848 16688 18074 18112 19072 20656 31696 33376 36148 36224 41312 42167 63392 66752 72296 82624 84334 126784 133504 144592 165248 168668 192359 253568 289184 295169 337336 365353 384718 578368 590338 674672 730706 769436 1156736 1180676 1346513 1349344 1461412 1538872 2361352 2557471 2693026 2698688 2922824 3077744 4722704 5114942 5386052 5397376 5845648 6155488 9445408 10229884 10772104 11691296 12310976 18890816 20459768 21544208 23382592 24621952 37781632 40919536 43088416 46765184 54437597 81839072 86176832 108875194 163678144 172353664 217750388 327356288 381063179 435500776 762126358 871001552 1524252716 1742003104 3048505432 3484006208 6097010864 6968012416 12194021728 24388043456 48776086912