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5170370880 = 263513141113
BaseRepresentation
bin1001101000010110…
…11001100101000000
3111100022222001110210
410310023121211000
541042103332010
62213014554120
7242061266403
oct46413314500
914308861423
105170370880
1122135a3194
121003668940
1364524096c
1437096dd3a
15203dabb20
hex1342d9940

5170370880 has 112 divisors (see below), whose sum is σ = 16541642304. Its totient is φ = 1368207360.

The previous prime is 5170370873. The next prime is 5170370897. The reversal of 5170370880 is 880730715.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105204 + ... + 146316.

Almost surely, 25170370880 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 5170370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8270821152).

5170370880 is an abundant number, since it is smaller than the sum of its proper divisors (11371271424).

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

5170370880 is a wasteful number, since it uses less digits than its factorization.

5170370880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41264 (or 41254 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 5170370880 is about 71905.2910431493. The cubic root of 5170370880 is about 1729.1814408596.

The spelling of 5170370880 in words is "five billion, one hundred seventy million, three hundred seventy thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 131 160 192 240 262 320 393 480 524 655 786 960 1048 1310 1572 1965 2096 2620 3144 3930 4192 5240 6288 7860 8384 10480 12576 15720 20960 25152 31440 41113 41920 62880 82226 123339 125760 164452 205565 246678 328904 411130 493356 616695 657808 822260 986712 1233390 1315616 1644520 1973424 2466780 2631232 3289040 3946848 4933560 5385803 6578080 7893696 9867120 10771606 13156160 16157409 19734240 21543212 26929015 32314818 39468480 43086424 53858030 64629636 80787045 86172848 107716060 129259272 161574090 172345696 215432120 258518544 323148180 344691392 430864240 517037088 646296360 861728480 1034074176 1292592720 1723456960 2585185440 5170370880