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5738187144 = 233416598849
BaseRepresentation
bin1010101100000010…
…11100100110001000
3112210220102002221210
411112001130212020
543222433442034
62345221133120
7262124533404
oct52601344610
915726362853
105738187144
112485069a28
12114185a1a0
13705a7b611
143c613a104
15238b6d8e9
hex15605c988

5738187144 has 64 divisors (see below), whose sum is σ = 14719320000. Its totient is φ = 1863034880.

The previous prime is 5738187139. The next prime is 5738187149. The reversal of 5738187144 is 4417818375.

It is an interprime number because it is at equal distance from previous prime (5738187139) and next prime (5738187149).

It is a junction number, because it is equal to n+sod(n) for n = 5738187093 and 5738187102.

It is not an unprimeable number, because it can be changed into a prime (5738187149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644032 + ... + 652880.

It is an arithmetic number, because the mean of its divisors is an integer number (229989375).

Almost surely, 25738187144 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 5738187144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359660000).

5738187144 is an abundant number, since it is smaller than the sum of its proper divisors (8981132856).

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

5738187144 is a wasteful number, since it uses less digits than its factorization.

5738187144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9558 (or 9554 counting only the distinct ones).

The product of its digits is 752640, while the sum is 48.

The square root of 5738187144 is about 75750.8227282054. The cubic root of 5738187144 is about 1790.2962529958.

The spelling of 5738187144 in words is "five billion, seven hundred thirty-eight million, one hundred eighty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 659 984 1318 1977 2636 3954 5272 7908 8849 15816 17698 26547 27019 35396 53094 54038 70792 81057 106188 108076 162114 212376 216152 324228 362809 648456 725618 1088427 1451236 2176854 2902472 4353708 5831491 8707416 11662982 17494473 23325964 34988946 46651928 69977892 139955784 239091131 478182262 717273393 956364524 1434546786 1912729048 2869093572 5738187144