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203074128166464 = 26325937672
BaseRepresentation
bin101110001011000111100001…
…010001011011111001000000
3222122000200211011010100200100
4232023013201101123321000
5203104131303302311324
61555522544440522400
760526423130511162
oct5613074121337100
9878020734110610
10203074128166464
1159784288244715
121a939162780400
138940a67580b79
143820ba98ca932
1518726565344c9
hexb8b1e145be40

203074128166464 has 63 divisors (see below), whose sum is σ = 582076302538107. Its totient is φ = 67691262052224.

The previous prime is 203074128166457. The next prime is 203074128166493. The reversal of 203074128166464 is 464661821470302.

The square root of 203074128166464 is 14250408.

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

203074128166464 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 7 + 4 + 12 + 8 + 166 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 203074128166464.

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, 341712909 + ... + 342306675.

Almost surely, 2203074128166464 is an apocalyptic number.

203074128166464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

203074128166464 is the 14250408-th square number.

It is an amenable number.

203074128166464 is an abundant number, since it is smaller than the sum of its proper divisors (379002174371643).

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

203074128166464 is an frugal number, since it uses more digits than its factorization.

203074128166464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187552 (or 593772 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 203074128166464 in words is "two hundred three trillion, seventy-four billion, one hundred twenty-eight million, one hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 593767 1187534 1781301 2375068 3562602 4750136 5343903 7125204 9500272 10687806 14250408 19000544 21375612 28500816 38001088 42751224 57001632 85502448 114003264 171004896 342009792 352559250289 705118500578 1057677750867 1410237001156 2115355501734 2820474002312 3173033252601 4230711003468 5640948004624 6346066505202 8461422006936 11281896009248 12692133010404 16922844013872 22563792018496 25384266020808 33845688027744 50768532041616 67691376055488 101537064083232 203074128166464