Search a number
-
+
194782887383296 = 28137263672
BaseRepresentation
bin101100010010011101101100…
…110011111001000100000000
3221112200001200022211020200011
4230102131230303321010000
5201012310323132231141
61530134005000034304
756012412346623502
oct5422355463710400
9845601608736604
10194782887383296
1157077a5aa48463
1219a1a28aa62994
13848bc41774c64
143615783563d72
15177bb3adc8881
hexb1276ccf9100

194782887383296 has 81 divisors (see below), whose sum is σ = 391725135669189. Its totient is φ = 96665372608512.

The previous prime is 194782887383261. The next prime is 194782887383321. The reversal of 194782887383296 is 692383788287491.

The square root of 194782887383296 is 13956464.

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

It can be written as a sum of positive squares in only one way, i.e., 114416395833600 + 80366491549696 = 10696560^2 + 8964736^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30592565905 + ... + 30592572271.

Almost surely, 2194782887383296 is an apocalyptic number.

194782887383296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

194782887383296 is the 13956464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194782887383296

194782887383296 is an abundant number, since it is smaller than the sum of its proper divisors (196942248285893).

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

194782887383296 is an frugal number, since it uses more digits than its factorization.

194782887383296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13024 (or 6506 counting only the distinct ones).

The product of its digits is 14046068736, while the sum is 85.

The spelling of 194782887383296 in words is "one hundred ninety-four trillion, seven hundred eighty-two billion, eight hundred eighty-seven million, three hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 548 1096 2192 4384 6367 8768 12734 17536 18769 25468 35072 37538 50936 75076 101872 150152 203744 300304 407488 600608 814976 872279 1201216 1629952 1744558 2402432 3489116 4804864 6978232 13956464 27912928 40538689 55825856 81077378 111651712 119502223 162154756 223303424 239004446 324309512 478008892 648619024 956017784 1297238048 1912035568 2594476096 3824071136 5188952192 5553800393 7648142272 10377904384 11107600786 15296284544 22215201572 30592569088 44430403144 88860806288 177721612576 355443225152 710886450304 760870653841 1421772900608 1521741307682 3043482615364 6086965230728 12173930461456 24347860922912 48695721845824 97391443691648 194782887383296