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53926149820 = 225173121511093
BaseRepresentation
bin110010001110001111…
…111011111010111100
312011012012120020200011
4302032033323322330
51340420043243240
640435012313004
73616224465454
oct621617737274
9164165506604
1053926149820
11209629a6574
12a54b912764
1351152a52ba
142877d3cd64
1516093cd6ea
hexc8e3fbebc

53926149820 has 144 divisors (see below), whose sum is σ = 124833731904. Its totient is φ = 19498752000.

The previous prime is 53926149811. The next prime is 53926149829. The reversal of 53926149820 is 2894162935.

It is an interprime number because it is at equal distance from previous prime (53926149811) and next prime (53926149829).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53926149829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49337194 + ... + 49338286.

It is an arithmetic number, because the mean of its divisors is an integer number (866900916).

Almost surely, 253926149820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53926149820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62416865952).

53926149820 is an abundant number, since it is smaller than the sum of its proper divisors (70907582084).

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

53926149820 is a wasteful number, since it uses less digits than its factorization.

53926149820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 53926149820 in words is "fifty-three billion, nine hundred twenty-six million, one hundred forty-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 151 155 170 302 310 340 527 604 620 755 961 1054 1093 1510 1922 2108 2186 2567 2635 3020 3844 4372 4681 4805 5134 5270 5465 9362 9610 10268 10540 10930 12835 16337 18581 18724 19220 21860 23405 25670 32674 33883 37162 46810 51340 65348 67766 74324 79577 81685 92905 93620 135532 145111 159154 163370 165043 169415 185810 290222 318308 326740 330086 338830 371620 397885 576011 580444 660172 677660 725555 795770 825215 1050373 1152022 1451110 1591540 1650430 2100746 2304044 2466887 2805731 2880055 2902220 3300860 4201492 4933774 5116333 5251865 5611462 5760110 9867548 10232666 10503730 11222924 11520220 12334435 14028655 17856341 20465332 21007460 24668870 25581665 28057310 35712682 49337740 51163330 56114620 71425364 86977661 89281705 102326660 158606323 173955322 178563410 317212646 347910644 357126820 434888305 634425292 793031615 869776610 1586063230 1739553220 2696307491 3172126460 5392614982 10785229964 13481537455 26963074910 53926149820