Search a number
-
+
95377040304 = 243713157139079
BaseRepresentation
bin101100011010011101…
…0100010001110110000
3100010011222201122202020
41120310322202032300
53030313010242204
6111452100551440
76614350315620
oct1306472421660
9303158648666
1095377040304
11374a3942057
12165996b2580
138cbcb13b30
14488b0a8880
15273345dbd9
hex1634ea23b0

95377040304 has 160 divisors (see below), whose sum is σ = 305183800320. Its totient is φ = 24993985536.

The previous prime is 95377040293. The next prime is 95377040309. The reversal of 95377040304 is 40304077359.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (95377040309) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 616237 + ... + 755315.

It is an arithmetic number, because the mean of its divisors is an integer number (1907398752).

Almost surely, 295377040304 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 95377040304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152591900160).

95377040304 is an abundant number, since it is smaller than the sum of its proper divisors (209806760016).

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

95377040304 is a wasteful number, since it uses less digits than its factorization.

95377040304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139267 (or 139261 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 95377040304 in words is "ninety-five billion, three hundred seventy-seven million, forty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 157 168 182 208 273 312 314 336 364 471 546 624 628 728 942 1092 1099 1256 1456 1884 2041 2184 2198 2512 3297 3768 4082 4368 4396 6123 6594 7536 8164 8792 12246 13188 14287 16328 17584 24492 26376 28574 32656 42861 48984 52752 57148 85722 97968 114296 139079 171444 228592 278158 342888 417237 556316 685776 834474 973553 1112632 1668948 1808027 1947106 2225264 2920659 3337896 3616054 3894212 5424081 5841318 6675792 7232108 7788424 10848162 11682636 12656189 14464216 15576848 21696324 21835403 23365272 25312378 28928432 37968567 43392648 43670806 46730544 50624756 65506209 75937134 86785296 87341612 101249512 131012418 151874268 152847821 174683224 202499024 262024836 283860239 303748536 305695642 349366448 458543463 524049672 567720478 607497072 611391284 851580717 917086926 1048099344 1135440956 1222782568 1703161434 1834173852 1987021673 2270881912 2445565136 3406322868 3668347704 3974043346 4541763824 5961065019 6812645736 7336695408 7948086692 11922130038 13625291472 15896173384 23844260076 31792346768 47688520152 95377040304