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5542149760 = 27574726321
BaseRepresentation
bin1010010100101011…
…00111111010000000
3112022020112101012221
411022111213322000
542322242243020
62313535300424
7254224332010
oct51225477200
915266471187
105542149760
112394443164
1210a807a714
136a4280b74
143a80a9c40
152268486aa
hex14a567e80

5542149760 has 128 divisors (see below), whose sum is σ = 15464701440. Its totient is φ = 1859665920.

The previous prime is 5542149649. The next prime is 5542149761. The reversal of 5542149760 is 679412455.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5542149761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197400 + ... + 223720.

It is an arithmetic number, because the mean of its divisors is an integer number (120817980).

Almost surely, 25542149760 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 5542149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7732350720).

5542149760 is an abundant number, since it is smaller than the sum of its proper divisors (9922551680).

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

5542149760 is a wasteful number, since it uses less digits than its factorization.

5542149760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26394 (or 26382 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The square root of 5542149760 is about 74445.6161234495. The cubic root of 5542149760 is about 1769.6718895570.

The spelling of 5542149760 in words is "five billion, five hundred forty-two million, one hundred forty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 64 70 80 94 112 128 140 160 188 224 235 280 320 329 376 448 470 560 640 658 752 896 940 1120 1316 1504 1645 1880 2240 2632 3008 3290 3760 4480 5264 6016 6580 7520 10528 13160 15040 21056 26320 26321 30080 42112 52640 52642 105280 105284 131605 184247 210560 210568 263210 368494 421136 526420 736988 842272 921235 1052840 1237087 1473976 1684544 1842470 2105680 2474174 2947952 3369088 3684940 4211360 4948348 5895904 6185435 7369880 8422720 8659609 9896696 11791808 12370870 14739760 16845440 17319218 19793392 23583616 24741740 29479520 34638436 39586784 43298045 49483480 58959040 69276872 79173568 86596090 98966960 117918080 138553744 158347136 173192180 197933920 277107488 346384360 395867840 554214976 692768720 791735680 1108429952 1385537440 2771074880 5542149760