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50061353141600 = 2552137821556351
BaseRepresentation
bin10110110000111110100010…
…01010111100010101100000
320120020211002202220210012122
423120133101022330111200
523030201122401012400
6254245511304043412
713354545666500063
oct1330372112742540
9216224082823178
1050061353141600
1114a5099a82a499
125746285a63568
1321c19c4603468
14c50da7a928da
155bc32609d685
hex2d87d12bc560

50061353141600 has 144 divisors (see below), whose sum is σ = 123254504706816. Its totient is φ = 19854128640000.

The previous prime is 50061353141593. The next prime is 50061353141663. The reversal of 50061353141600 is 614135316005.

It is a super-2 number, since 2×500613531416002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89703425 + ... + 90259775.

It is an arithmetic number, because the mean of its divisors is an integer number (855934060464).

Almost surely, 250061353141600 is an apocalyptic number.

50061353141600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50061353141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61627252353408).

50061353141600 is an abundant number, since it is smaller than the sum of its proper divisors (73193151565216).

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

50061353141600 is a wasteful number, since it uses less digits than its factorization.

50061353141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557329 (or 557316 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

Adding to 50061353141600 its reverse (614135316005), we get a palindrome (50675488457605).

The spelling of 50061353141600 in words is "fifty trillion, sixty-one billion, three hundred fifty-three million, one hundred forty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 137 160 200 274 400 548 685 800 821 1096 1370 1642 2192 2740 3284 3425 4105 4384 5480 6568 6850 8210 10960 13136 13700 16420 20525 21920 26272 27400 32840 41050 54800 65680 82100 109600 112477 131360 164200 224954 328400 449908 556351 562385 656800 899816 1112702 1124770 1799632 2225404 2249540 2781755 2811925 3599264 4450808 4499080 5563510 5623850 8901616 8998160 11127020 11247700 13908775 17803232 17996320 22254040 22495400 27817550 44508080 44990800 55635100 76220087 89016160 89981600 111270200 152440174 222540400 304880348 381100435 445080800 456764171 609760696 762200870 913528342 1219521392 1524401740 1827056684 1905502175 2283820855 2439042784 3048803480 3654113368 3811004350 4567641710 6097606960 7308226736 7622008700 9135283420 11419104275 12195213920 14616453472 15244017400 18270566840 22838208550 30488034800 36541133680 45676417100 60976069600 62576691427 73082267360 91352834200 125153382854 182705668400 250306765708 312883457135 365411336800 500613531416 625766914270 1001227062832 1251533828540 1564417285675 2002454125664 2503067657080 3128834571350 5006135314160 6257669142700 10012270628320 12515338285400 25030676570800 50061353141600