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169225663968 = 2534531231843
BaseRepresentation
bin1001110110011010100…
…0101011010111100000
3121011210121221102210000
42131212220223113200
510233033232221333
6205424033140000
715140366260464
oct2354650532740
9534717842700
10169225663968
116584a526039
12289693ba600
1312c5b6bb69a
148294cac4a4
154606892713
hex2766a2b5e0

169225663968 has 120 divisors (see below), whose sum is σ = 507078727848. Its totient is φ = 55344197376.

The previous prime is 169225663931. The next prime is 169225663973. The reversal of 169225663968 is 869366522961.

169225663968 is a `hidden beast` number, since 1 + 6 + 9 + 2 + 2 + 566 + 3 + 9 + 68 = 666.

169225663968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 478546 + ... + 753297.

Almost surely, 2169225663968 is an apocalyptic number.

169225663968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

169225663968 is an abundant number, since it is smaller than the sum of its proper divisors (337853063880).

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

169225663968 is a wasteful number, since it uses less digits than its factorization.

169225663968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231918 (or 1231901 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 169225663968 in words is "one hundred sixty-nine billion, two hundred twenty-five million, six hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 81 96 106 108 144 159 162 212 216 288 318 324 424 432 477 636 648 848 864 954 1272 1296 1431 1696 1908 2544 2592 2862 3816 4293 5088 5724 7632 8586 11448 15264 17172 22896 34344 45792 68688 137376 1231843 2463686 3695529 4927372 7391058 9854744 11086587 14782116 19709488 22173174 29564232 33259761 39418976 44346348 59128464 65287679 66519522 88692696 99779283 118256928 130575358 133039044 177385392 195863037 199558566 261150716 266078088 354770784 391726074 399117132 522301432 532156176 587589111 783452148 798234264 1044602864 1064312352 1175178222 1566904296 1596468528 1762767333 2089205728 2350356444 3133808592 3192937056 3525534666 4700712888 5288301999 6267617184 7051069332 9401425776 10576603998 14102138664 18802851552 21153207996 28204277328 42306415992 56408554656 84612831984 169225663968