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211524054064 = 24435343313397
BaseRepresentation
bin1100010011111111010…
…0001110110000110000
3202012222110211021202121
43010333310032300300
511431200124212224
6241101154324024
721165522536161
oct3047764166060
9665873737677
10211524054064
11817858a5624
1234bb2b89614
1316c3c9a138b
14a348809768
15578002dbe4
hex313fd0ec30

211524054064 has 80 divisors (see below), whose sum is σ = 428289900192. Its totient is φ = 101111721984.

The previous prime is 211524053981. The next prime is 211524054103. The reversal of 211524054064 is 460450425112.

211524054064 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 15 ways as a sum of consecutive naturals, for example, 15782214 + ... + 15795610.

Almost surely, 2211524054064 is an apocalyptic number.

It is an amenable number.

211524054064 is an abundant number, since it is smaller than the sum of its proper divisors (216765846128).

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

211524054064 is a wasteful number, since it uses less digits than its factorization.

211524054064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13934 (or 13928 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 211524054064 its reverse (460450425112), we get a palindrome (671974479176).

The spelling of 211524054064 in words is "two hundred eleven billion, five hundred twenty-four million, fifty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 43 53 86 106 172 212 344 424 433 688 848 866 1732 2279 3464 4558 6928 9116 13397 18232 18619 22949 26794 36464 37238 45898 53588 74476 91796 107176 148952 183592 214352 297904 367184 576071 710041 986807 1152142 1420082 1973614 2304284 2840164 3947228 4608568 5680328 5800901 7894456 9217136 11360656 11601802 15788912 23203604 30531763 46407208 61063526 92814416 122127052 244254104 249438743 307447753 488508208 498877486 614895506 997754972 1229791012 1995509944 2459582024 3991019888 4919164048 13220253379 26440506758 52881013516 105762027032 211524054064