Search a number
-
+
6071377546640 = 2457106910141951
BaseRepresentation
bin101100001011001101001…
…0011010100110110010000
3210111102021201222121111202
41120112122103110312100
51243433140122443030
620525052523330332
71164433252435610
oct130263223246620
923442251877452
106071377546640
111a3094738771a
128208100809a8
133506b3cc3bb3
1416dbdb750a40
15a7de54a5745
hex5859a4d4d90

6071377546640 has 80 divisors (see below), whose sum is σ = 16147610296320. Its totient is φ = 2079667699200.

The previous prime is 6071377546589. The next prime is 6071377546643. The reversal of 6071377546640 is 466457731706.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (6071377546643) 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, 4472336 + ... + 5669615.

It is an arithmetic number, because the mean of its divisors is an integer number (201845128704).

Almost surely, 26071377546640 is an apocalyptic number.

It is an amenable number.

6071377546640 is an abundant number, since it is smaller than the sum of its proper divisors (10076232749680).

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

6071377546640 is a wasteful number, since it uses less digits than its factorization.

6071377546640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10143040 (or 10143034 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 56.

The spelling of 6071377546640 in words is "six trillion, seventy-one billion, three hundred seventy-seven million, five hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1069 2138 4276 5345 7483 8552 10690 14966 17104 21380 29932 37415 42760 59864 74830 85520 119728 149660 299320 598640 10141951 20283902 40567804 50709755 70993657 81135608 101419510 141987314 162271216 202839020 283974628 354968285 405678040 567949256 709936570 811356080 1135898512 1419873140 2839746280 5679492560 10841745619 21683491238 43366982476 54208728095 75892219333 86733964952 108417456190 151784438666 173467929904 216834912380 303568877332 379461096665 433669824760 607137754664 758922193330 867339649520 1214275509328 1517844386660 3035688773320 6071377546640