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1270716707104 = 251343131953857
BaseRepresentation
bin10010011111011100100…
…111100011000100100000
311111110221102200001011121
4102133130213203010200
5131304411434111404
62411431553022024
7160543354536535
oct22373447430440
94443842601147
101270716707104
1144a9a94a9889
12186334554914
1392a9c3710b0
14457083c6d8c
15230c31bde54
hex127dc9e3120

1270716707104 has 96 divisors (see below), whose sum is σ = 2758960068480. Its totient is φ = 572400525312.

The previous prime is 1270716707041. The next prime is 1270716707107. The reversal of 1270716707104 is 4017076170721.

It is a super-2 number, since 2×12707167071042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (1270716707107) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23567344 + ... + 23621200.

It is an arithmetic number, because the mean of its divisors is an integer number (28739167380).

Almost surely, 21270716707104 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 1270716707104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379480034240).

1270716707104 is an abundant number, since it is smaller than the sum of its proper divisors (1488243361376).

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

1270716707104 is a wasteful number, since it uses less digits than its factorization.

1270716707104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55242 (or 55234 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 43.

The spelling of 1270716707104 in words is "one trillion, two hundred seventy billion, seven hundred sixteen million, seven hundred seven thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 104 172 208 344 416 559 688 1118 1319 1376 2236 2638 4472 5276 8944 10552 17147 17888 21104 34294 42208 53857 56717 68588 107714 113434 137176 215428 226868 274352 430856 453736 548704 700141 737321 861712 907472 1400282 1474642 1723424 1814944 2315851 2800564 2949284 4631702 5601128 5898568 9263404 11202256 11797136 18526808 22404512 23594272 30106063 37053616 60212126 71037383 74107232 120424252 142074766 240848504 284149532 481697008 568299064 923485979 963394016 1136598128 1846971958 2273196256 3054607469 3693943916 6109214938 7387887832 12218429876 14775775664 24436859752 29551551328 39709897097 48873719504 79419794194 97747439008 158839588388 317679176776 635358353552 1270716707104