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53030671128 = 233229197128923
BaseRepresentation
bin110001011000110111…
…111101001100011000
312001212210120012211200
4301120313331030120
51332101322434003
640210103154200
73555102160431
oct613067751430
9161783505750
1053030671128
1120543482136
12a33ba45960
135001902856
1427d103c488
1515a59966a3
hexc58dfd318

53030671128 has 96 divisors (see below), whose sum is σ = 149332669200. Its totient is φ = 16980574464.

The previous prime is 53030671087. The next prime is 53030671139. The reversal of 53030671128 is 82117603035.

53030671128 is a `hidden beast` number, since 530 + 3 + 0 + 6 + 7 + 112 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 53030671092 and 53030671101.

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 23 ways as a sum of consecutive naturals, for example, 346875 + ... + 475797.

Almost surely, 253030671128 is an apocalyptic number.

53030671128 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53030671128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74666334600).

53030671128 is an abundant number, since it is smaller than the sum of its proper divisors (96301998072).

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

53030671128 is a wasteful number, since it uses less digits than its factorization.

53030671128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129161 (or 129154 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 53030671128 in words is "fifty-three billion, thirty million, six hundred seventy-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 197 232 261 348 394 522 591 696 788 1044 1182 1576 1773 2088 2364 3546 4728 5713 7092 11426 14184 17139 22852 34278 45704 51417 68556 102834 128923 137112 205668 257846 386769 411336 515692 773538 1031384 1160307 1547076 2320614 3094152 3738767 4641228 7477534 9282456 11216301 14955068 22432602 25397831 29910136 33648903 44865204 50795662 67297806 76193493 89730408 101591324 134595612 152386986 203182648 228580479 269191224 304773972 457160958 609547944 736537099 914321916 1473074198 1828643832 2209611297 2946148396 4419222594 5892296792 6628833891 8838445188 13257667782 17676890376 26515335564 53030671128