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56050010601040 = 2451722770187517
BaseRepresentation
bin11001011111010001010001…
…11110001011011001010000
321100110022212121110120120001
430233220220332023121100
524321310410203213130
6315113004105055344
714543323341140011
oct1457505076133120
9240408777416501
1056050010601040
111694a748844285
126352a4b187554
132537654a94aa1
14dbab992c7008
15672ec93836ca
hex32fa28f8b650

56050010601040 has 120 divisors (see below), whose sum is σ = 138439438462872. Its totient is φ = 21100177612800.

The previous prime is 56050010600999. The next prime is 56050010601041. The reversal of 56050010601040 is 4010601005065.

56050010601040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 11735639735824 + 44314370865216 = 3425732^2 + 6656904^2 .

It is a super-3 number, since 3×560500106010403 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56050010601041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640403362 + ... + 640490878.

Almost surely, 256050010601040 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 56050010601040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69219719231436).

56050010601040 is an abundant number, since it is smaller than the sum of its proper divisors (82389427861832).

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

56050010601040 is a wasteful number, since it uses less digits than its factorization.

56050010601040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115265 (or 115242 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 56050010601040 in words is "fifty-six trillion, fifty billion, ten million, six hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 680 1156 1360 1445 2312 2890 4624 5780 11560 23120 27701 55402 87517 110804 138505 175034 221608 277010 350068 437585 443216 470917 554020 700136 875170 941834 1108040 1400272 1487789 1750340 1883668 2216080 2354585 2975578 3500680 3767336 4709170 5951156 7001360 7438945 7534672 8005589 9418340 11902312 14877890 16011178 18836680 23804624 25292413 29755780 32022356 37673360 40027945 50584826 59511560 64044712 80055890 101169652 119023120 126462065 128089424 160111780 202339304 252924130 320223560 404678608 505848260 640447120 1011696520 2023393040 2424308417 4848616834 9697233668 12121542085 19394467336 24243084170 38788934672 41213243089 48486168340 82426486178 96972336680 164852972356 193944673360 206066215445 329705944712 412132430890 659411889424 700625132513 824264861780 1401250265026 1648529723560 2802500530052 3297059447120 3503125662565 5605001060104 7006251325130 11210002120208 14012502650260 28025005300520 56050010601040