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211414351552 = 2631257414629
BaseRepresentation
bin1100010011100101000…
…1101111111011000000
3202012200211101211012121
43010321101233323000
511430434033222202
6241042235134024
721163021223605
oct3047121577300
9665624354177
10211414351552
1181729987498
1234b822a4314
1316c23041551
14a3380106ac
1557755ae537
hex313946fec0

211414351552 has 56 divisors (see below), whose sum is σ = 434744530560. Its totient is φ = 101898977280.

The previous prime is 211414351549. The next prime is 211414351609. The reversal of 211414351552 is 255153414112.

211414351552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302574 + ... + 717202.

Almost surely, 2211414351552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211414351552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217372265280).

211414351552 is an abundant number, since it is smaller than the sum of its proper divisors (223330179008).

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

211414351552 is a wasteful number, since it uses less digits than its factorization.

211414351552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414929 (or 414919 counting only the distinct ones).

The product of its digits is 24000, while the sum is 34.

Adding to 211414351552 its reverse (255153414112), we get a palindrome (466567765664).

The spelling of 211414351552 in words is "two hundred eleven billion, four hundred fourteen million, three hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 257 496 514 992 1028 1984 2056 4112 7967 8224 15934 16448 31868 63736 127472 254944 414629 509888 829258 1658516 3317032 6634064 12853499 13268128 25706998 26536256 51413996 102827992 106559653 205655984 213119306 411311968 426238612 822623936 852477224 1704954448 3303349243 3409908896 6606698486 6819817792 13213396972 26426793944 52853587888 105707175776 211414351552