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195625751616 = 263461432
BaseRepresentation
bin1011011000110000110…
…1000001010001000000
3200200221111100211210000
42312030031001101000
511201120143022431
6225511430440000
720063534311161
oct2661415012100
9620844324700
10195625751616
1175a67700699
1231ab6803000
13155a8004519
14967b18b768
15514e4259e6
hex2d8c341440

195625751616 has 105 divisors (see below), whose sum is σ = 579990426631. Its totient is φ = 65197968768.

The previous prime is 195625751611. The next prime is 195625751621. The reversal of 195625751616 is 616157526591.

It is a happy number.

The square root of 195625751616 is 442296.

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

195625751616 is a `hidden beast` number, since 1 + 9 + 5 + 6 + 2 + 575 + 1 + 61 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (195625751611) and next prime (195625751621).

It is a super-2 number, since 2×1956257516162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (195625751611) 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 14 ways as a sum of consecutive naturals, for example, 31842241 + ... + 31848383.

Almost surely, 2195625751616 is an apocalyptic number.

195625751616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

195625751616 is the 442296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195625751616

195625751616 is an abundant number, since it is smaller than the sum of its proper divisors (384364675015).

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

195625751616 is an frugal number, since it uses more digits than its factorization.

195625751616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12310 (or 6148 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 54.

The spelling of 195625751616 in words is "one hundred ninety-five billion, six hundred twenty-five million, seven hundred fifty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 6143 12286 18429 24572 36858 49144 55287 73716 98288 110574 147432 165861 196576 221148 294864 331722 393152 442296 497583 589728 663444 884592 995166 1179456 1326888 1769184 1990332 2653776 3538368 3980664 5307552 7961328 10615104 15922656 31845312 37736449 75472898 113209347 150945796 226418694 301891592 339628041 452837388 603783184 679256082 905674776 1018884123 1207566368 1358512164 1811349552 2037768246 2415132736 2717024328 3056652369 3622699104 4075536492 5434048656 6113304738 7245398208 8151072984 10868097312 12226609476 16302145968 21736194624 24453218952 32604291936 48906437904 65208583872 97812875808 195625751616