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211404310432 = 2572932543767
BaseRepresentation
bin1100010011100010101…
…1011100011110100000
3202012200010111200101021
43010320223130132200
511430424000413212
6241041240015224
721162536663320
oct3047053343640
9665603450337
10211404310432
1181724249447
1234b7aa61514
1316c20c37063
14a336959280
155774779307
hex3138adc7a0

211404310432 has 48 divisors (see below), whose sum is σ = 492061772160. Its totient is φ = 87477643008.

The previous prime is 211404310427. The next prime is 211404310463. The reversal of 211404310432 is 234013404112.

It is a junction number, because it is equal to n+sod(n) for n = 211404310397 and 211404310406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16265388 + ... + 16278379.

It is an arithmetic number, because the mean of its divisors is an integer number (10251286920).

Almost surely, 2211404310432 is an apocalyptic number.

It is an amenable number.

211404310432 is an abundant number, since it is smaller than the sum of its proper divisors (280657461728).

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

211404310432 is a wasteful number, since it uses less digits than its factorization.

211404310432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32543813 (or 32543805 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 211404310432 its reverse (234013404112), we get a palindrome (445417714544).

The spelling of 211404310432 in words is "two hundred eleven billion, four hundred four million, three hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 6496 32543767 65087534 130175068 227806369 260350136 455612738 520700272 911225476 943769243 1041400544 1822450952 1887538486 3644901904 3775076972 6606384701 7289803808 7550153944 13212769402 15100307888 26425538804 30200615776 52851077608 105702155216 211404310432