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202730465536 = 2810722632
BaseRepresentation
bin1011110011001110101…
…1010110100100000000
3201101021122010201001121
42330303223112210000
511310142444344121
6233044425242024
720434564344634
oct2746353264400
9641248121047
10202730465536
1178a83076395
123335a033314
131616ac11761
149b529a4dc4
155418026141
hex2f33ad6900

202730465536 has 81 divisors (see below), whose sum is σ = 410045399491. Its totient is φ = 100036077056.

The previous prime is 202730465533. The next prime is 202730465537. The reversal of 202730465536 is 635564037202.

The square root of 202730465536 is 450256.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202730465492 and 202730465501.

It is not an unprimeable number, because it can be changed into a prime (202730465533) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 770838141 + ... + 770838403.

Almost surely, 2202730465536 is an apocalyptic number.

202730465536 is the 450256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202730465536

202730465536 is an abundant number, since it is smaller than the sum of its proper divisors (207314933955).

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

202730465536 is an frugal number, since it uses more digits than its factorization.

202730465536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 43.

The spelling of 202730465536 in words is "two hundred two billion, seven hundred thirty million, four hundred sixty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 263 428 526 856 1052 1712 2104 3424 4208 6848 8416 11449 13696 16832 22898 27392 28141 33664 45796 56282 67328 69169 91592 112564 138338 183184 225128 276676 366368 450256 553352 732736 900512 1106704 1465472 1801024 2213408 2930944 3011087 3602048 4426816 6022174 7204096 7401083 8853632 12044348 14802166 17707264 24088696 29604332 48177392 59208664 96354784 118417328 192709568 236834656 385419136 473669312 770838272 791915881 947338624 1583831762 1894677248 3167663524 6335327048 12670654096 25341308192 50682616384 101365232768 202730465536