Search a number
-
+
95450102500 = 22543721672
BaseRepresentation
bin101100011100101000…
…1001111101011100100
3100010101002012121020111
41120321101033223210
53030440211240000
6111503230542404
76616225325134
oct1307121175344
9303332177214
1095450102500
1137531104835
12165ba067a04
139001cb53bc
144896a86ac4
152739a91cba
hex163944fae4

95450102500 has 135 divisors (see below), whose sum is σ = 215816379933. Its totient is φ = 36925704000.

The previous prime is 95450102483. The next prime is 95450102507. The reversal of 95450102500 is 520105459.

The square root of 95450102500 is 308950.

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

It can be written as a sum of positive squares in 7 ways, for example, as 31691832484 + 63758270016 = 178022^2 + 252504^2 .

It is a super-2 number, since 2×954501025002 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (95450102507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 571557417 + ... + 571557583.

Almost surely, 295450102500 is an apocalyptic number.

95450102500 is the 308950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95450102500

95450102500 is an abundant number, since it is smaller than the sum of its proper divisors (120366277433).

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

95450102500 is an equidigital number, since it uses as much as digits as its factorization.

95450102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

Adding to 95450102500 its reverse (520105459), we get a palindrome (95970207959).

The spelling of 95450102500 in words is "ninety-five billion, four hundred fifty million, one hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 167 185 250 334 370 500 625 668 740 835 925 1250 1369 1670 1850 2500 2738 3340 3700 4175 4625 5476 6179 6845 8350 9250 12358 13690 16700 18500 20875 23125 24716 27380 27889 30895 34225 41750 46250 55778 61790 68450 83500 92500 104375 111556 123580 136900 139445 154475 171125 208750 228623 278890 308950 342250 417500 457246 557780 617900 684500 697225 772375 855625 914492 1031893 1143115 1394450 1544750 1711250 2063786 2286230 2788900 3089500 3422500 3486125 3861875 4127572 4572460 5159465 5715575 6972250 7723750 10318930 11431150 13944500 15447500 17430625 20637860 22862300 25797325 28577875 34861250 38180041 51594650 57155750 69722500 76360082 103189300 114311500 128986625 142889375 152720164 190900205 257973250 285778750 381800410 515946500 571557500 644933125 763600820 954501025 1289866250 1909002050 2579732500 3818004100 4772505125 9545010250 19090020500 23862525625 47725051250 95450102500