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217390927504 = 2441228432
BaseRepresentation
bin1100101001110110000…
…0100100111010010000
3202210010100101100010111
43022131200210322100
512030204034140004
6243511254011104
721464102252362
oct3123540447220
9683110340114
10217390927504
1184216569463
123616b946a94
13176662c851a
14a743a82d32
1559c511ba04
hex329d824e90

217390927504 has 45 divisors (see below), whose sum is σ = 431870437609. Its totient is φ = 106007054720.

The previous prime is 217390927493. The next prime is 217390927513. The reversal of 217390927504 is 405729093712.

It is a happy number.

The square root of 217390927504 is 466252.

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., 10475113104 + 206915814400 = 102348^2 + 454880^2 .

It is a super-2 number, since 2×2173909275042 (a number of 23 digits) contains 22 as substring.

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, 76463907 + ... + 76466749.

Almost surely, 2217390927504 is an apocalyptic number.

217390927504 is the 466252-nd square number.

It is an amenable number.

217390927504 is a deficient number, since it is larger than the sum of its proper divisors (214479510105).

217390927504 is an frugal number, since it uses more digits than its factorization.

217390927504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5776 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

Multiplying 217390927504 by its sum of digits (49), we get a square (10652155447696 = 32637642).

The spelling of 217390927504 in words is "two hundred seventeen billion, three hundred ninety million, nine hundred twenty-seven thousand, five hundred four".

Divisors: 1 2 4 8 16 41 82 164 328 656 1681 2843 3362 5686 6724 11372 13448 22744 26896 45488 116563 233126 466252 932504 1865008 4779083 8082649 9558166 16165298 19116332 32330596 38232664 64661192 76465328 129322384 331388609 662777218 1325554436 2651108872 5302217744 13586932969 27173865938 54347731876 108695463752 217390927504