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5385356544 = 28319136713
BaseRepresentation
bin1010000001111111…
…00000010100000000
3111220022111110100210
411000333200110000
542012122402134
62250214514120
7250311526641
oct50077402400
914808443323
105385356544
112313991097
121063665940
1367a943c09
143913336c8
15217bc62e9
hex140fe0500

5385356544 has 72 divisors (see below), whose sum is σ = 14408335872. Its totient is φ = 1785671680.

The previous prime is 5385356527. The next prime is 5385356591. The reversal of 5385356544 is 4456535835.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5385356493 and 5385356502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128332 + ... + 165044.

It is an arithmetic number, because the mean of its divisors is an integer number (200115776).

Almost surely, 25385356544 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 5385356544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7204167936).

5385356544 is an abundant number, since it is smaller than the sum of its proper divisors (9022979328).

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

5385356544 is a wasteful number, since it uses less digits than its factorization.

5385356544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36923 (or 36909 counting only the distinct ones).

The product of its digits is 4320000, while the sum is 48.

The square root of 5385356544 is about 73384.9885467048. The cubic root of 5385356544 is about 1752.8233656248.

The spelling of 5385356544 in words is "five billion, three hundred eighty-five million, three hundred fifty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 191 192 256 382 384 573 764 768 1146 1528 2292 3056 4584 6112 9168 12224 18336 24448 36672 36713 48896 73344 73426 110139 146688 146852 220278 293704 440556 587408 881112 1174816 1762224 2349632 3524448 4699264 7012183 7048896 9398528 14024366 14097792 21036549 28048732 28195584 42073098 56097464 84146196 112194928 168292392 224389856 336584784 448779712 673169568 897559424 1346339136 1795118848 2692678272 5385356544