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50114362660400 = 24524391549184241
BaseRepresentation
bin10110110010100001010001…
…10010001101011000110000
320120102212221002200100111202
423121100220302031120300
523032033203320113100
6254330115334030332
713361433424122113
oct1331205062153060
9216385832610452
1050114362660400
1114a71422274565
1257545ba7a83a8
1321c69c1a0b22c
14c53795d8657a
155bd8c9c677d5
hex2d9428c8d630

50114362660400 has 120 divisors (see below), whose sum is σ = 120752575284000. Its totient is φ = 19987062681600.

The previous prime is 50114362660393. The next prime is 50114362660409. The reversal of 50114362660400 is 406626341105.

It is a super-2 number, since 2×501143626604002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (50114362660409) 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 23 ways as a sum of consecutive naturals, for example, 271912280 + ... + 272096520.

It is an arithmetic number, because the mean of its divisors is an integer number (1006271460700).

Almost surely, 250114362660400 is an apocalyptic number.

50114362660400 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 50114362660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60376287642000).

50114362660400 is an abundant number, since it is smaller than the sum of its proper divisors (70638212623600).

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

50114362660400 is a wasteful number, since it uses less digits than its factorization.

50114362660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186247 (or 186236 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 50114362660400 in words is "fifty trillion, one hundred fourteen billion, three hundred sixty-two million, six hundred sixty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 439 878 1549 1756 2195 3098 3512 4390 6196 7024 7745 8780 10975 12392 15490 17560 21950 24784 30980 35120 38725 43900 61960 77450 87800 123920 154900 175600 184241 309800 368482 619600 680011 736964 921205 1360022 1473928 1842410 2720044 2947856 3400055 3684820 4606025 5440088 6800110 7369640 9212050 10880176 13600220 14739280 17000275 18424100 27200440 34000550 36848200 54400880 68001100 73696400 80881799 136002200 161763598 272004400 285389309 323527196 404408995 570778618 647054392 808817990 1141557236 1294108784 1426946545 1617635980 2022044975 2283114472 2853893090 3235271960 4044089950 4566228944 5707786180 6470543920 7134732725 8088179900 11415572360 14269465450 16176359800 22831144720 28538930900 32352719600 57077861800 114155723600 125285906651 250571813302 501143626604 626429533255 1002287253208 1252859066510 2004574506416 2505718133020 3132147666275 5011436266040 6264295332550 10022872532080 12528590665100 25057181330200 50114362660400