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921306553272 = 233372326492597
BaseRepresentation
bin11010110100000100010…
…01100101101110111000
310021002001102211010122000
431122002021211232320
5110043313434201042
61543124204501000
7123363556330440
oct15320211455670
93232042733560
10921306553272
113257a6592706
1212a67b84a760
1368b56a54791
143283d017120
1518e72d2e74c
hexd682265bb8

921306553272 has 128 divisors (see below), whose sum is σ = 3051947289600. Its totient is φ = 251785632384.

The previous prime is 921306553247. The next prime is 921306553273. The reversal of 921306553272 is 272355603129.

921306553272 is a `hidden beast` number, since 9 + 21 + 3 + 0 + 6 + 553 + 2 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (921306553273) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13211523 + ... + 13281074.

It is an arithmetic number, because the mean of its divisors is an integer number (23843338200).

Almost surely, 2921306553272 is an apocalyptic number.

921306553272 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

921306553272 is an abundant number, since it is smaller than the sum of its proper divisors (2130640736328).

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

921306553272 is a wasteful number, since it uses less digits than its factorization.

921306553272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26492642 (or 26492632 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 921306553272 in words is "nine hundred twenty-one billion, three hundred six million, five hundred fifty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 84 92 108 126 138 161 168 184 189 207 216 252 276 322 378 414 483 504 552 621 644 756 828 966 1242 1288 1449 1512 1656 1932 2484 2898 3864 4347 4968 5796 8694 11592 17388 34776 26492597 52985194 79477791 105970388 158955582 185448179 211940776 238433373 317911164 370896358 476866746 556344537 609329731 635822328 715300119 741792716 953733492 1112689074 1218659462 1430600238 1483585432 1669033611 1827989193 1907466984 2225378148 2437318924 2861200476 3338067222 3655978386 4265308117 4450756296 4874637848 5007100833 5483967579 5722400952 6676134444 7311956772 8530616234 10014201666 10967935158 12795924351 13352268888 14623913544 16451902737 17061232468 20028403332 21935870316 25591848702 32903805474 34122464936 38387773053 40056806664 43871740632 51183697404 65807610948 76775546106 102367394808 115163319159 131615221896 153551092212 230326638318 307102184424 460653276636 921306553272