Search a number
-
+
95131063680 = 2735103481043
BaseRepresentation
bin101100010011001000…
…0001101010110000000
3100002112211212202020220
41120212100031112000
53024312023014210
6111411432503040
76605302461612
oct1304620152600
9302484782226
1095131063680
1137388007194
121652b24aa80
138c80b7c833
144866558db2
15271ba71c70
hex162640d580

95131063680 has 128 divisors (see below), whose sum is σ = 306174885120. Its totient is φ = 25121937408.

The previous prime is 95131063667. The next prime is 95131063681. The reversal of 95131063680 is 8636013159.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95131063681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42762 + ... + 438281.

It is an arithmetic number, because the mean of its divisors is an integer number (2391991290).

Almost surely, 295131063680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95131063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153087442560).

95131063680 is an abundant number, since it is smaller than the sum of its proper divisors (211043821440).

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

95131063680 is a wasteful number, since it uses less digits than its factorization.

95131063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481168 (or 481156 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 95131063680 in words is "ninety-five billion, one hundred thirty-one million, sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 120 128 160 192 206 240 309 320 384 412 480 515 618 640 824 960 1030 1236 1545 1648 1920 2060 2472 3090 3296 4120 4944 6180 6592 8240 9888 12360 13184 16480 19776 24720 32960 39552 49440 65920 98880 197760 481043 962086 1443129 1924172 2405215 2886258 3848344 4810430 5772516 7215645 7696688 9620860 11545032 14431290 15393376 19241720 23090064 28862580 30786752 38483440 46180128 49547429 57725160 61573504 76966880 92360256 99094858 115450320 148642287 153933760 184720512 198189716 230900640 247737145 297284574 307867520 396379432 461801280 495474290 594569148 743211435 792758864 923602560 990948580 1189138296 1486422870 1585517728 1981897160 2378276592 2972845740 3171035456 3963794320 4756553184 5945691480 6342070912 7927588640 9513106368 11891382960 15855177280 19026212736 23782765920 31710354560 47565531840 95131063680