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195420580096 = 287239472
BaseRepresentation
bin1011010111111111111…
…0010110100100000000
3200200102012022001100211
42311333332112210000
511200210132030341
6225435221123504
720055463344400
oct2657776264400
9620365261324
10195420580096
1175971906255
1231a59b59594
1315574659361
14965bc20800
15513b3e9181
hex2d7ff96900

195420580096 has 81 divisors (see below), whose sum is σ = 453878963139. Its totient is φ = 83730458112.

The previous prime is 195420580073. The next prime is 195420580139. The reversal of 195420580096 is 690085024591.

The square root of 195420580096 is 442064.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49509195 + ... + 49513141.

Almost surely, 2195420580096 is an apocalyptic number.

195420580096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

195420580096 is the 442064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195420580096

195420580096 is an abundant number, since it is smaller than the sum of its proper divisors (258458383043).

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

195420580096 is an frugal number, since it uses more digits than its factorization.

195420580096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7924 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

Multiplying 195420580096 by its sum of digits (49), we get a square (9575608424704 = 30944482).

195420580096 divided by its sum of digits (49) gives a square (3988175104 = 631522).

The spelling of 195420580096 in words is "one hundred ninety-five billion, four hundred twenty million, five hundred eighty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 3947 6272 7894 12544 15788 27629 31576 55258 63152 110516 126304 193403 221032 252608 386806 442064 505216 773612 884128 1010432 1547224 1768256 3094448 3536512 6188896 7073024 12377792 15578809 24755584 31157618 49511168 62315236 109051663 124630472 218103326 249260944 436206652 498521888 763361641 872413304 997043776 1526723282 1744826608 1994087552 3053446564 3489653216 3988175104 6106893128 6979306432 12213786256 13958612864 24427572512 27917225728 48855145024 97710290048 195420580096