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50607451521 = 321121724012
BaseRepresentation
bin101111001000011100…
…000110110110000001
311211121220211220110100
4233020130012312001
51312121001422041
635125421153013
73441046145304
oct571034066601
9154556756410
1050607451521
111a50a650400
1299843bb769
134a068771b3
142641296b3b
1514b2d856b6
hexbc8706d81

50607451521 has 81 divisors (see below), whose sum is σ = 85567036009. Its totient is φ = 28795008000.

The previous prime is 50607451459. The next prime is 50607451529. The reversal of 50607451521 is 12515470605.

The square root of 50607451521 is 224961.

It is a perfect power (a square), and thus also a powerful number.

50607451521 is a `hidden beast` number, since 5 + 0 + 60 + 74 + 5 + 1 + 521 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34948433025 + 15659018496 = 186945^2 + 125136^2 .

It is not a de Polignac number, because 50607451521 - 215 = 50607418753 is a prime.

It is a super-2 number, since 2×506074515212 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (50607451529) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 126202921 + ... + 126203321.

Almost surely, 250607451521 is an apocalyptic number.

50607451521 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

50607451521 is the 224961-st square number.

50607451521 is the 112481-st centered octagonal number.

It is an amenable number.

50607451521 is a deficient number, since it is larger than the sum of its proper divisors (34959584488).

50607451521 is a wasteful number, since it uses less digits than its factorization.

50607451521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Multiplying 50607451521 by its sum of digits (36), we get a square (1821868254756 = 13497662).

The spelling of 50607451521 in words is "fifty billion, six hundred seven million, four hundred fifty-one thousand, five hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 289 363 401 561 867 1089 1203 1683 2057 2601 3179 3609 4411 6171 6817 9537 13233 18513 20451 28611 34969 39699 48521 61353 74987 104907 115889 145563 160801 224961 314721 347667 436689 482403 674883 824857 1043001 1274779 1447209 1768811 2474571 2733617 3824337 5306433 7423713 8200851 11473011 14022569 15919299 19456921 24602553 30069787 42067707 46471489 58370763 90209361 126203121 139414467 175112289 270628083 330767657 418243401 511186379 992302971 1533559137 2976908913 4600677411 5623050169 16869150507 50607451521