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316483879761 = 3274432892
BaseRepresentation
bin1001001101011111110…
…10001100001101010001
31010020220022020212210100
410212233322030031101
520141124333123021
6401220215523013
731602523410000
oct4465772141521
91106808225710
10316483879761
11112246999125
1251405989469
1323ac8c1470a
1411464470c37
1583748d6626
hex49afe8c351

316483879761 has 135 divisors (see below), whose sum is σ = 552196699899. Its totient is φ = 174657422016.

The previous prime is 316483879759. The next prime is 316483879883. The reversal of 316483879761 is 167978384613.

The square root of 316483879761 is 562569.

It is a perfect power (a square), and thus also a powerful number.

316483879761 is a `hidden beast` number, since 3 + 1 + 6 + 483 + 8 + 7 + 97 + 61 = 666.

316483879761 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 60771617361 + 255712262400 = 246519^2 + 505680^2 .

It is not a de Polignac number, because 316483879761 - 21 = 316483879759 is a prime.

It is a super-2 number, since 2×3164838797612 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (316483879961) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3555998605 + ... + 3555998693.

Almost surely, 2316483879761 is an apocalyptic number.

316483879761 is the 562569-th square number.

316483879761 is the 281285-th centered octagonal number.

It is an amenable number.

316483879761 is a deficient number, since it is larger than the sum of its proper divisors (235712820138).

316483879761 is an frugal number, since it uses more digits than its factorization.

316483879761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 142 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 316483879761 in words is "three hundred sixteen billion, four hundred eighty-three million, eight hundred seventy-nine thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 21 43 49 63 89 129 147 267 301 343 387 441 623 801 903 1029 1849 1869 2107 2401 2709 3087 3827 4361 5547 5607 6321 7203 7921 11481 12943 13083 14749 16641 18963 21609 23763 26789 30527 34443 38829 39249 44247 55447 71289 80367 90601 91581 103243 116487 132741 164561 166341 187523 213689 241101 271803 274743 309729 340603 388129 493683 499023 562569 634207 641067 815409 929187 1021809 1151927 1164387 1312661 1481049 1687707 1902621 1923201 2384221 2716903 3065427 3455781 3493161 3937983 4439449 5707863 7152663 8063489 8150709 9188627 10367343 11813949 13318347 14645929 16689547 19018321 21457989 24190467 24452127 27565881 39955041 43937787 50068641 56444423 57054963 72571401 82697643 102521503 116826829 131813361 150205923 169333269 171164889 307564509 350480487 395110961 507999807 717650521 817787803 922693527 1051441461 1185332883 2152951563 2453363409 3555998649 5023553647 6458854689 7360090227 15070660941 35164875529 45211982823 105494626587 316483879761