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5407145118 = 23523539127
BaseRepresentation
bin1010000100100101…
…00111110010011110
3111221211111102200000
411002102213302132
542033212120433
62252313515130
7250664655324
oct50222476236
914854442600
105407145118
112325213181
12106aa12aa6
1368230246b
143941a5d14
15219a7c113
hex1424a7c9e

5407145118 has 96 divisors (see below), whose sum is σ = 12918237696. Its totient is φ = 1691303328.

The previous prime is 5407145101. The next prime is 5407145119. The reversal of 5407145118 is 8115417045.

5407145118 is a `hidden beast` number, since 540 + 71 + 45 + 1 + 1 + 8 = 666.

It is a super-2 number, since 2×54071451182 = 58474436654222467848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5407145119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587871 + ... + 596997.

It is an arithmetic number, because the mean of its divisors is an integer number (134564976).

Almost surely, 25407145118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5407145118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6459118848).

5407145118 is an abundant number, since it is smaller than the sum of its proper divisors (7511092578).

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

5407145118 is a wasteful number, since it uses less digits than its factorization.

5407145118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9220 (or 9208 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 5407145118 is about 73533.2925823399. The cubic root of 5407145118 is about 1755.1840964013.

The spelling of 5407145118 in words is "five billion, four hundred seven million, one hundred forty-five thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 23 27 46 53 54 69 81 106 138 159 162 207 243 318 414 477 486 621 954 1219 1242 1431 1863 2438 2862 3657 3726 4293 5589 7314 8586 9127 10971 11178 12879 18254 21942 25758 27381 32913 54762 65826 82143 98739 164286 197478 209921 246429 296217 419842 483731 492858 592434 629763 739287 967462 1259526 1451193 1478574 1889289 2217861 2902386 3778578 4353579 4435722 5667867 8707158 11125813 11335734 13060737 17003601 22251626 26121474 33377439 34007202 39182211 51010803 66754878 78364422 100132317 102021606 117546633 200264634 235093266 300396951 600793902 901190853 1802381706 2703572559 5407145118