Search a number
-
+
55983526461516 = 223233115107433123
BaseRepresentation
bin11001011101010101011100…
…01101010100000001001100
321100012222021012211100120010
430232222232031110001030
524314213230233232031
6315022251011153220
714535450655235313
oct1456525615240114
9240188235740503
1055983526461516
1116924531222225
126341b958a5810
1325312bab7ac64
14db788d5db27a
156713d7764246
hex32eaae35404c

55983526461516 has 96 divisors (see below), whose sum is σ = 140714378477568. Its totient is φ = 17272836060480.

The previous prime is 55983526461413. The next prime is 55983526461517. The reversal of 55983526461516 is 61516462538955.

It is not an unprimeable number, because it can be changed into a prime (55983526461517) 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, 129038931 + ... + 129472053.

It is an arithmetic number, because the mean of its divisors is an integer number (1465774775808).

Almost surely, 255983526461516 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 55983526461516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70357189238784).

55983526461516 is an abundant number, since it is smaller than the sum of its proper divisors (84730852016052).

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

55983526461516 is a wasteful number, since it uses less digits than its factorization.

55983526461516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448291 (or 448289 counting only the distinct ones).

The product of its digits is 233280000, while the sum is 66.

The spelling of 55983526461516 in words is "fifty-five trillion, nine hundred eighty-three billion, five hundred twenty-six million, four hundred sixty-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 1426 2139 2852 4278 8556 15107 30214 45321 60428 90642 181284 347461 433123 468317 694922 866246 936634 1042383 1299369 1389844 1404951 1732492 1873268 2084766 2598738 2809902 4169532 5197476 5619804 9961829 10771291 13426813 19923658 21542582 26853626 29885487 32313873 39847316 40280439 43085164 53707252 59770974 64627746 80560878 119541948 129255492 161121756 308816699 617633398 926450097 1235266796 1852900194 3705800388 6543189161 13086378322 19629567483 26172756644 39259134966 78518269932 150493350703 202838863991 300986701406 405677727982 451480052109 601973402812 608516591973 811355455964 902960104218 1217033183946 1805920208436 2434066367892 4665293871793 9330587743586 13995881615379 18661175487172 27991763230758 55983526461516