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5115213440 = 275193171327
BaseRepresentation
bin1001100001110001…
…11111011010000000
3111012111011202200122
410300320333122000
540433443312230
62203324435412
7240521411501
oct46070773200
914174152618
105115213440
11219544a627
12ba90a8b68
1363699ac1c
143674d2ba8
151ee113be5
hex130e3f680

5115213440 has 128 divisors (see below), whose sum is σ = 12922502400. Its totient is φ = 1930825728.

The previous prime is 5115213413. The next prime is 5115213473. The reversal of 5115213440 is 443125115.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3854057 + ... + 3855383.

It is an arithmetic number, because the mean of its divisors is an integer number (100957050).

Almost surely, 25115213440 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 5115213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6461251200).

5115213440 is an abundant number, since it is smaller than the sum of its proper divisors (7807288960).

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

5115213440 is a wasteful number, since it uses less digits than its factorization.

With its successor (5115213441) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1682).

5115213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 5115213440 is about 71520.7203543141. The cubic root of 5115213440 is about 1723.0104839963.

Adding to 5115213440 its reverse (443125115), we get a palindrome (5558338555).

The spelling of 5115213440 in words is "five billion, one hundred fifteen million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 317 320 380 608 634 640 760 1216 1268 1327 1520 1585 2432 2536 2654 3040 3170 5072 5308 6023 6080 6340 6635 10144 10616 12046 12160 12680 13270 20288 21232 24092 25213 25360 26540 30115 40576 42464 48184 50426 50720 53080 60230 84928 96368 100852 101440 106160 120460 126065 169856 192736 201704 202880 212320 240920 252130 385472 403408 420659 424640 481840 504260 770944 806816 841318 849280 963680 1008520 1613632 1682636 1927360 2017040 2103295 3227264 3365272 3854720 4034080 4206590 6730544 7992521 8068160 8413180 13461088 15985042 16136320 16826360 26922176 31970084 33652720 39962605 53844352 63940168 67305440 79925210 127880336 134610880 159850420 255760672 269221760 319700840 511521344 639401680 1023042688 1278803360 2557606720 5115213440