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4977207216 = 2433831271093
BaseRepresentation
bin1001010001010101…
…00010011110110000
3110211212111022202000
410220222202132300
540143131112331
62141514454000
7234224364132
oct45052423660
913755438660
104977207216
11212455a4a3
12b6aa34300
1361420b237
1435304b052
151e1e530e6
hex128aa27b0

4977207216 has 160 divisors (see below), whose sum is σ = 14585733120. Its totient is φ = 1624686336.

The previous prime is 4977207211. The next prime is 4977207223. The reversal of 4977207216 is 6127027794.

It is not an unprimeable number, because it can be changed into a prime (4977207211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4553166 + ... + 4554258.

It is an arithmetic number, because the mean of its divisors is an integer number (91160832).

Almost surely, 24977207216 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 4977207216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7292866560).

4977207216 is an abundant number, since it is smaller than the sum of its proper divisors (9608525904).

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

4977207216 is a wasteful number, since it uses less digits than its factorization.

4977207216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 4977207216 is about 70549.3247026504. The cubic root of 4977207216 is about 1707.3736475926.

The spelling of 4977207216 in words is "four billion, nine hundred seventy-seven million, two hundred seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 127 144 166 216 249 254 332 381 432 498 508 664 747 762 996 1016 1093 1143 1328 1494 1524 1992 2032 2186 2241 2286 2988 3048 3279 3429 3984 4372 4482 4572 5976 6096 6558 6858 8744 8964 9144 9837 10541 11952 13116 13716 17488 17928 18288 19674 21082 26232 27432 29511 31623 35856 39348 42164 52464 54864 59022 63246 78696 84328 90719 94869 118044 126492 138811 157392 168656 181438 189738 236088 252984 272157 277622 284607 362876 379476 416433 472176 505968 544314 555244 569214 725752 758952 816471 832866 1088628 1110488 1138428 1249299 1451504 1517904 1632942 1665732 2177256 2220976 2276856 2449413 2498598 3265884 3331464 3747897 4354512 4553712 4898826 4997196 6531768 6662928 7495794 9797652 9994392 11521313 13063536 14991588 19595304 19988784 23042626 29983176 34563939 39190608 46085252 59966352 69127878 92170504 103691817 138255756 184341008 207383634 276511512 311075451 414767268 553023024 622150902 829534536 1244301804 1659069072 2488603608 4977207216