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201967550464 = 21435112
BaseRepresentation
bin1011110000011000110…
…1000100000000000000
3201022022110120121022211
42330012031010000000
511302112143103324
6232441013311504
720406641565511
oct2740615040000
9638273517284
10201967550464
1178721464a69
1233186635594
1316078b44614
149abd530a08
1553c1077294
hex2f06344000

201967550464 has 45 divisors (see below), whose sum is σ = 404037851511. Its totient is φ = 100955013120.

The previous prime is 201967550459. The next prime is 201967550503. The reversal of 201967550464 is 464055769102.

The square root of 201967550464 is 449408.

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

It is a Duffinian number.

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 2 ways as a sum of consecutive naturals, for example, 57522469 + ... + 57525979.

Almost surely, 2201967550464 is an apocalyptic number.

201967550464 is the 449408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201967550464

201967550464 is an abundant number, since it is smaller than the sum of its proper divisors (202070301047).

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

201967550464 is an frugal number, since it uses more digits than its factorization.

201967550464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7050 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

Multiplying 201967550464 by its sum of digits (49), we get a square (9896409972736 = 31458562).

The spelling of 201967550464 in words is "two hundred one billion, nine hundred sixty-seven million, five hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3511 4096 7022 8192 14044 16384 28088 56176 112352 224704 449408 898816 1797632 3595264 7190528 12327121 14381056 24654242 28762112 49308484 57524224 98616968 197233936 394467872 788935744 1577871488 3155742976 6311485952 12622971904 25245943808 50491887616 100983775232 201967550464