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207345443904 = 2632189732
BaseRepresentation
bin1100000100011011000…
…0000110010001000000
3201211012021000220020100
43001012300012101000
511344120413201104
6235130404242400
720660133123234
oct3010660062100
9654167026210
10207345443904
117aa311089a5
12342276a0400
13167250745a1
14a06d8805c4
1555d8277139
hex3046c06440

207345443904 has 63 divisors (see below), whose sum is σ = 594349603653. Its totient is φ = 69111505152.

The previous prime is 207345443891. The next prime is 207345443953. The reversal of 207345443904 is 409344543702.

The square root of 207345443904 is 455352.

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

207345443904 is a `hidden beast` number, since 2 + 0 + 73 + 4 + 544 + 39 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73354305600 + 133991138304 = 270840^2 + 366048^2 .

It is a super-2 number, since 2×2073454439042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 207345443904.

It is an unprimeable number.

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, 10918962 + ... + 10937934.

Almost surely, 2207345443904 is an apocalyptic number.

207345443904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

207345443904 is the 455352-nd square number.

It is an amenable number.

207345443904 is an abundant number, since it is smaller than the sum of its proper divisors (387004159749).

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

207345443904 is an frugal number, since it uses more digits than its factorization.

207345443904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37964 (or 18978 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

It can be divided in two parts, 207345 and 443904, that added together give a square (651249 = 8072).

The spelling of 207345443904 in words is "two hundred seven billion, three hundred forty-five million, four hundred forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 18973 37946 56919 75892 113838 151784 170757 227676 303568 341514 455352 607136 683028 910704 1214272 1366056 1821408 2732112 3642816 5464224 10928448 359974729 719949458 1079924187 1439898916 2159848374 2879797832 3239772561 4319696748 5759595664 6479545122 8639393496 11519191328 12959090244 17278786992 23038382656 25918180488 34557573984 51836360976 69115147968 103672721952 207345443904