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5141644160 = 27543832251
BaseRepresentation
bin1001100100111011…
…10100001110000000
3111021022220120211012
410302131310032000
541012230103120
62210111140052
7241262153132
oct46235641600
914238816735
105141644160
1121a93623a4
12bb5b14628
1363c2c33c3
1436ac13052
152015d51c5
hex132774380

5141644160 has 128 divisors (see below), whose sum is σ = 12734789760. Its totient is φ = 1983744000.

The previous prime is 5141644153. The next prime is 5141644199. The reversal of 5141644160 is 614461415.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2283035 + ... + 2285285.

It is an arithmetic number, because the mean of its divisors is an integer number (99490545).

Almost surely, 25141644160 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 5141644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6367394880).

5141644160 is an abundant number, since it is smaller than the sum of its proper divisors (7593145600).

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

5141644160 is a wasteful number, since it uses less digits than its factorization.

5141644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 5141644160 is about 71705.2589424235. The cubic root of 5141644160 is about 1725.9730319327.

The spelling of 5141644160 in words is "five billion, one hundred forty-one million, six hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 83 86 128 160 166 172 215 320 332 344 415 430 640 664 688 830 860 1328 1376 1660 1720 2251 2656 2752 3320 3440 3569 4502 5312 5504 6640 6880 7138 9004 10624 11255 13280 13760 14276 17845 18008 22510 26560 27520 28552 35690 36016 45020 53120 57104 71380 72032 90040 96793 114208 142760 144064 180080 186833 193586 228416 285520 288128 360160 373666 387172 456832 483965 571040 720320 747332 774344 934165 967930 1142080 1440640 1494664 1548688 1868330 1935860 2284160 2989328 3097376 3736660 3871720 5978656 6194752 7473320 7743440 8033819 11957312 12389504 14946640 15486880 16067638 23914624 29893280 30973760 32135276 40169095 59786560 61947520 64270552 80338190 119573120 128541104 160676380 257082208 321352760 514164416 642705520 1028328832 1285411040 2570822080 5141644160