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211935012496 = 2471216212
BaseRepresentation
bin1100010101100001001…
…1111010011010010000
3202021001010010010202021
43011120103322122100
511433020330344441
6241210034501224
721211642611544
oct3053023723220
9667033103667
10211935012496
1181976875799
12350a8734814
1316ca6b7b84c
14a387223a24
1557a61593d1
hex31584fa690

211935012496 has 45 divisors (see below), whose sum is σ = 416746073289. Its totient is φ = 104410555200.

The previous prime is 211935012481. The next prime is 211935012511. The reversal of 211935012496 is 694210539112.

The square root of 211935012496 is 460364.

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

It is an interprime number because it is at equal distance from previous prime (211935012481) and next prime (211935012511).

It can be written as a sum of positive squares in only one way, i.e., 162863902096 + 49071110400 = 403564^2 + 221520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 130742566 + ... + 130744186.

Almost surely, 2211935012496 is an apocalyptic number.

211935012496 is the 460364-th square number.

It is an amenable number.

211935012496 is a deficient number, since it is larger than the sum of its proper divisors (204811060793).

211935012496 is an frugal number, since it uses more digits than its factorization.

211935012496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 211935012496 in words is "two hundred eleven billion, nine hundred thirty-five million, twelve thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 71 142 284 568 1136 1621 3242 5041 6484 10082 12968 20164 25936 40328 80656 115091 230182 460364 920728 1841456 2627641 5255282 8171461 10510564 16342922 21021128 32685844 42042256 65371688 130743376 186562511 373125022 746250044 1492500088 2985000176 13245938281 26491876562 52983753124 105967506248 211935012496