Search a number
-
+
106504288688 = 24721071269601
BaseRepresentation
bin110001100110000100…
…1100111100110110000
3101011220110121102221202
41203030021213212300
53221110044214223
6120532152310332
710460163342200
oct1431411474660
9334813542852
10106504288688
11411939924a6
12187840a23a8
13a074202685
145224c20400
152b85286428
hex18cc2679b0

106504288688 has 60 divisors (see below), whose sum is σ = 242285767272. Its totient is φ = 45218073600.

The previous prime is 106504288621. The next prime is 106504288729. The reversal of 106504288688 is 886882405601.

It is a super-2 number, since 2×1065042886882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 550913 + ... + 718688.

Almost surely, 2106504288688 is an apocalyptic number.

It is an amenable number.

106504288688 is an abundant number, since it is smaller than the sum of its proper divisors (135781478584).

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

106504288688 is a wasteful number, since it uses less digits than its factorization.

106504288688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269730 (or 1269717 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 56.

The spelling of 106504288688 in words is "one hundred six billion, five hundred four million, two hundred eighty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 107 112 196 214 392 428 749 784 856 1498 1712 2996 5243 5992 10486 11984 20972 41944 83888 1269601 2539202 5078404 8887207 10156808 17774414 20313616 35548828 62210449 71097656 124420898 135847307 142195312 248841796 271694614 497683592 543389228 950931149 995367184 1086778456 1901862298 2173556912 3803724596 6656518043 7607449192 13313036086 15214898384 26626072172 53252144344 106504288688