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395190764164 = 22728325412
BaseRepresentation
bin1011100000000110011…
…01001000001010000100
31101210001112010212200001
411300003031020022010
522433322313423124
6501314221331044
740360124033200
oct5600315101204
91353045125601
10395190764164
1114266597a329
1264710706a84
132b360181c71
14151ad59bb00
15a42e5c4b44
hex5c03348284

395190764164 has 81 divisors (see below), whose sum is σ = 815812947621. Its totient is φ = 167017606560.

The previous prime is 395190764159. The next prime is 395190764237. The reversal of 395190764164 is 461467091593.

The square root of 395190764164 is 628642.

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

It can be written as a sum of positive squares in only one way, i.e., 157007722564 + 238183041600 = 396242^2 + 488040^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 730481734 + ... + 730482274.

Almost surely, 2395190764164 is an apocalyptic number.

395190764164 is the 628642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395190764164

395190764164 is an abundant number, since it is smaller than the sum of its proper divisors (420622183457).

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

395190764164 is an frugal number, since it uses more digits than its factorization.

395190764164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 395190764164 in words is "three hundred ninety-five billion, one hundred ninety million, seven hundred sixty-four thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 83 98 166 196 332 541 581 1082 1162 2164 2324 3787 4067 6889 7574 8134 13778 15148 16268 26509 27556 44903 48223 53018 89806 96446 106036 179612 192892 292681 314321 337561 585362 628642 675122 1170724 1257284 1350244 2048767 2200247 3726949 4097534 4400494 7453898 8195068 8800988 14341369 14907796 24292523 26088643 28682738 48585046 52177286 57365476 97170092 104354572 170047661 182620501 340095322 365241002 680190644 730482004 1190333627 2016279409 2380667254 4032558818 4761334508 8065117636 14113955863 28227911726 56455823452 98797691041 197595382082 395190764164