Search a number
-
+
5308858377216 = 21032240012
BaseRepresentation
bin100110101000001000010…
…0111100010010000000000
3200210112002110122100020100
41031100100213202100000
51143440020221032331
615142504511242400
71055360313436242
oct115202047422000
920715073570210
105308858377216
111767524174769
12718a85b19400
132c68142182a4
14144d43196092
1593167934ae6
hex4d4109e2400

5308858377216 has 99 divisors (see below), whose sum is σ = 15329852071833. Its totient is φ = 1769545728000.

The previous prime is 5308858377203. The next prime is 5308858377223. The reversal of 5308858377216 is 6127738588035.

The square root of 5308858377216 is 2304096.

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

5308858377216 is a `hidden beast` number, since 5 + 30 + 8 + 8 + 583 + 7 + 7 + 2 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1428273570816 + 3880584806400 = 1195104^2 + 1969920^2 .

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 8 ways as a sum of consecutive naturals, for example, 221181216 + ... + 221205216.

Almost surely, 25308858377216 is an apocalyptic number.

5308858377216 is the 2304096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5308858377216

5308858377216 is an abundant number, since it is smaller than the sum of its proper divisors (10020993694617).

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

5308858377216 is an frugal number, since it uses more digits than its factorization.

5308858377216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48028 (or 24006 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 5308858377216 in words is "five trillion, three hundred eight billion, eight hundred fifty-eight million, three hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 24001 48002 72003 96004 144006 192008 216009 288012 384016 432018 576024 768032 864036 1152048 1536064 1728072 2304096 3072128 3456144 4608192 6144256 6912288 9216384 12288512 13824576 18432768 24577024 27649152 36865536 55298304 73731072 110596608 221193216 576048001 1152096002 1728144003 2304192004 3456288006 4608384008 5184432009 6912576012 9216768016 10368864018 13825152024 18433536032 20737728036 27650304048 36867072064 41475456072 55300608096 73734144128 82950912144 110601216192 147468288256 165901824288 221202432384 294936576512 331803648576 442404864768 589873153024 663607297152 884809729536 1327214594304 1769619459072 2654429188608 5308858377216