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211412645532 = 2232112261323609
BaseRepresentation
bin1100010011100100101…
…1001111011010011100
3202012200201012010222200
43010321023033122130
511430433114124112
6241042134411500
721163000560024
oct3047113173234
9665621163880
10211412645532
1181728a21760
1234b81800b90
1316c22894b7a
14a337ac8a84
155775373cdc
hex31392cf69c

211412645532 has 72 divisors (see below), whose sum is σ = 583036861680. Its totient is φ = 64058891520.

The previous prime is 211412645527. The next prime is 211412645537. The reversal of 211412645532 is 235546214112.

211412645532 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 1 + 2 + 645 + 5 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (211412645527) and next prime (211412645537).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211412645537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8942944 + ... + 8966552.

It is an arithmetic number, because the mean of its divisors is an integer number (8097734190).

Almost surely, 2211412645532 is an apocalyptic number.

211412645532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211412645532 is an abundant number, since it is smaller than the sum of its proper divisors (371624216148).

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

211412645532 is a wasteful number, since it uses less digits than its factorization.

211412645532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46243 (or 46238 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 211412645532 its reverse (235546214112), we get a palindrome (446958859644).

The spelling of 211412645532 in words is "two hundred eleven billion, four hundred twelve million, six hundred forty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 22613 23609 45226 47218 67839 70827 90452 94436 135678 141654 203517 212481 248743 259699 271356 283308 407034 424962 497486 519398 746229 779097 814068 849924 994972 1038796 1492458 1558194 2238687 2337291 2984916 3116388 4477374 4674582 8954748 9349164 533870317 1067740634 1601610951 2135481268 3203221902 4804832853 5872573487 6406443804 9609665706 11745146974 17617720461 19219331412 23490293948 35235440922 52853161383 70470881844 105706322766 211412645532