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201245548816 = 2413286272
BaseRepresentation
bin1011101101101100101…
…0110110000100010000
3201020110011000010021001
42323123022312010100
511244122330030231
6232241222311344
720353023640444
oct2733312660420
9636404003231
10201245548816
1178390958494
1233004888554
1315c923a0a00
149a516aa824
15537c9aab61
hex2edb2b6110

201245548816 has 45 divisors (see below), whose sum is σ = 422262703461. Its totient is φ = 92871794496.

The previous prime is 201245548793. The next prime is 201245548877. The reversal of 201245548816 is 618845542102.

The square root of 201245548816 is 448604.

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., 29770051600 + 171475497216 = 172540^2 + 414096^2 .

It is a Duffinian number.

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, 23323095 + ... + 23331721.

Almost surely, 2201245548816 is an apocalyptic number.

201245548816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

201245548816 is the 448604-th square number.

It is an amenable number.

201245548816 is an abundant number, since it is smaller than the sum of its proper divisors (221017154645).

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

201245548816 is an frugal number, since it uses more digits than its factorization.

201245548816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17288 (or 8642 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 46.

The spelling of 201245548816 in words is "two hundred one billion, two hundred forty-five million, five hundred forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 8627 17254 34508 69016 112151 138032 224302 448604 897208 1457963 1794416 2915926 5831852 11663704 23327408 74425129 148850258 297700516 595401032 967526677 1190802064 1935053354 3870106708 7740213416 12577846801 15480426832 25155693602 50311387204 100622774408 201245548816