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71375371344 = 2435137133999
BaseRepresentation
bin100001001111001001…
…1011011110001010000
320211020021100112200000
41002132103123301100
52132134043340334
652442301530000
75104514434434
oct1023623336120
9224207315600
1071375371344
11282a7599a02
12119bb573900
136966381c54
1436515569c4
151ccb23d299
hex109e4dbc50

71375371344 has 120 divisors (see below), whose sum is σ = 208663728000. Its totient is φ = 23617951488.

The previous prime is 71375371337. The next prime is 71375371427. The reversal of 71375371344 is 44317357317.

71375371344 is a `hidden beast` number, since 71 + 3 + 7 + 537 + 1 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 71375371344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465657 + ... + 599655.

It is an arithmetic number, because the mean of its divisors is an integer number (1738864400).

Almost surely, 271375371344 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 71375371344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104331864000).

71375371344 is an abundant number, since it is smaller than the sum of its proper divisors (137288356656).

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

71375371344 is a wasteful number, since it uses less digits than its factorization.

71375371344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134159 (or 134141 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The spelling of 71375371344 in words is "seventy-one billion, three hundred seventy-five million, three hundred seventy-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 137 144 162 216 243 274 324 411 432 486 548 648 822 972 1096 1233 1296 1644 1944 2192 2466 3288 3699 3888 4932 6576 7398 9864 11097 14796 19728 22194 29592 33291 44388 59184 66582 88776 133164 133999 177552 266328 267998 401997 532656 535996 803994 1071992 1205991 1607988 2143984 2411982 3215976 3617973 4823964 6431952 7235946 9647928 10853919 14471892 18357863 19295856 21707838 28943784 32561757 36715726 43415676 55073589 57887568 65123514 73431452 86831352 110147178 130247028 146862904 165220767 173662704 220294356 260494056 293725808 330441534 440588712 495662301 520988112 660883068 881177424 991324602 1321766136 1486986903 1982649204 2643532272 2973973806 3965298408 4460960709 5947947612 7930596816 8921921418 11895895224 17843842836 23791790448 35687685672 71375371344