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195432958084 = 22741323472
BaseRepresentation
bin1011011000000010110…
…1100100100010000100
3200200110001120220202211
42312000231210202010
511200221314124314
6225440342313204
720056003510000
oct2660055444204
9620401526684
10195432958084
117597889aaa1
1231a62128804
13155770a1400
14965d723700
15513c5419c4
hex2d80b64884

195432958084 has 135 divisors (see below), whose sum is σ = 433285897317. Its totient is φ = 77091329952.

The previous prime is 195432958081. The next prime is 195432958087. The reversal of 195432958084 is 480859234591.

It is a happy number.

The square root of 195432958084 is 442078.

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

It is an interprime number because it is at equal distance from previous prime (195432958081) and next prime (195432958087).

It can be written as a sum of positive squares in only one way, i.e., 28910200900 + 166522757184 = 170030^2 + 408072^2 .

It is a super-2 number, since 2×1954329580842 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (195432958081) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 563207199 + ... + 563207545.

Almost surely, 2195432958084 is an apocalyptic number.

195432958084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

195432958084 is the 442078-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195432958084

195432958084 is an abundant number, since it is smaller than the sum of its proper divisors (237852939233).

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

195432958084 is an frugal number, since it uses more digits than its factorization.

195432958084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 58.

The spelling of 195432958084 in words is "one hundred ninety-five billion, four hundred thirty-two million, nine hundred fifty-eight thousand, eighty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 343 347 364 637 676 686 694 1183 1274 1372 1388 2366 2401 2429 2548 4459 4511 4732 4802 4858 8281 8918 9022 9604 9716 16562 17003 17836 18044 31213 31577 33124 34006 57967 58643 62426 63154 68012 115934 117286 119021 120409 124852 126308 221039 231868 234572 238042 240818 405769 410501 442078 476084 481636 811538 821002 833147 842863 884156 1547273 1565317 1623076 1642004 1666294 1685726 2873507 3094546 3130634 3332588 3371452 5747014 5900041 6189092 6261268 10830911 10957219 11494028 11800082 20114549 20349121 21661822 21914438 23600164 40229098 40698242 41300287 43323644 43828876 76700533 80458196 81396484 82600574 140801843 142443847 153401066 165201148 281603686 284887694 289102009 306802132 536903731 563207372 569775388 578204018 997106929 1073807462 1156408036 1994213858 2147614924 3758326117 3988427716 6979748503 7516652234 13959497006 15033304468 27918994012 48858239521 97716479042 195432958084