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116192356900 = 22528923832
BaseRepresentation
bin110110000110110011…
…0101010101000100100
3102002220122102022002221
41230031212222220210
53400430220410100
6125213353242124
711252232511054
oct1541546525044
9362818368087
10116192356900
1145305613544
121a628703344
13ac593a5109
1458a3785564
153050a7a01a
hex1b0d9aaa24

116192356900 has 81 divisors (see below), whose sum is σ = 255669791251. Its totient is φ = 45834743680.

The previous prime is 116192356897. The next prime is 116192356919. The reversal of 116192356900 is 9653291611.

The square root of 116192356900 is 340870.

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

It can be written as a sum of positive squares in 4 ways, for example, as 24179628004 + 92012728896 = 155498^2 + 303336^2 .

It is a super-2 number, since 2×1161923569002 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 303374109 + ... + 303374491.

Almost surely, 2116192356900 is an apocalyptic number.

116192356900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116192356900 is the 340870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116192356900

116192356900 is an abundant number, since it is smaller than the sum of its proper divisors (139477434351).

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

116192356900 is an frugal number, since it uses more digits than its factorization.

116192356900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 43.

The spelling of 116192356900 in words is "one hundred sixteen billion, one hundred ninety-two million, three hundred fifty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 383 445 766 890 1532 1780 1915 2225 3830 4450 7660 7921 8900 9575 15842 19150 31684 34087 38300 39605 68174 79210 136348 146689 158420 170435 198025 293378 340870 396050 586756 681740 733445 792100 852175 1466890 1704350 2933780 3033743 3408700 3667225 6067486 7334450 12134972 13055321 14668900 15168715 26110642 30337430 52221284 60674860 65276605 75843575 130553210 151687150 261106420 303374300 326383025 652766050 1161923569 1305532100 2323847138 4647694276 5809617845 11619235690 23238471380 29048089225 58096178450 116192356900