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95396970496 = 2141921272
BaseRepresentation
bin101100011011000011…
…0100100000000000000
3100010020101020012211111
41120312012210000000
53030333111023441
6111454052053104
76615011604262
oct1306606440000
9303211205744
1095396970496
1137504114993
12165a4304194
138cc3ca1549
14488d9b5b32
152735099081
hex16361a4000

95396970496 has 135 divisors (see below), whose sum is σ = 202956078339. Its totient is φ = 44832227328.

The previous prime is 95396970491. The next prime is 95396970521. The reversal of 95396970496 is 69407969359.

The square root of 95396970496 is 308864.

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

It is not an unprimeable number, because it can be changed into a prime (95396970491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 751157185 + ... + 751157311.

Almost surely, 295396970496 is an apocalyptic number.

95396970496 is the 308864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95396970496

95396970496 is an abundant number, since it is smaller than the sum of its proper divisors (107559107843).

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

95396970496 is an frugal number, since it uses more digits than its factorization.

95396970496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 99202320, while the sum is 67.

The spelling of 95396970496 in words is "ninety-five billion, three hundred ninety-six million, nine hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 127 128 152 254 256 304 361 508 512 608 722 1016 1024 1216 1444 2032 2048 2413 2432 2888 4064 4096 4826 4864 5776 8128 8192 9652 9728 11552 16129 16256 16384 19304 19456 23104 32258 32512 38608 38912 45847 46208 64516 65024 77216 77824 91694 92416 129032 130048 154432 155648 183388 184832 258064 260096 306451 308864 311296 366776 369664 516128 520192 612902 617728 733552 739328 1032256 1040384 1225804 1235456 1467104 1478656 2064512 2080768 2451608 2470912 2934208 2957312 4129024 4903216 4941824 5822569 5868416 5914624 8258048 9806432 9883648 11645138 11736832 16516096 19612864 19767296 23290276 23473664 33032192 39225728 39534592 46580552 46947328 66064384 78451456 93161104 93894656 132128768 156902912 186322208 187789312 264257536 313805824 372644416 375578624 627611648 745288832 751157248 1255223296 1490577664 2510446592 2981155328 5020893184 5962310656 11924621312 23849242624 47698485248 95396970496