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5505161346 = 23219113167853
BaseRepresentation
bin1010010000010001…
…00001100010000010
3112012122221011122200
411020020201202002
542233310130341
62310134414030
7253265046036
oct51010414202
915178834580
105505161346
11237557a223
121097801316
13699700029
143a31dc1c6
1522348ddb6
hex148221882

5505161346 has 96 divisors (see below), whose sum is σ = 12757530240. Its totient is φ = 1710761472.

The previous prime is 5505161341. The next prime is 5505161351. The reversal of 5505161346 is 6431615055.

5505161346 is a `hidden beast` number, since 5 + 5 + 0 + 516 + 134 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5505161341) and next prime (5505161351).

It is a self number, because there is not a number n which added to its sum of digits gives 5505161346.

It is not an unprimeable number, because it can be changed into a prime (5505161341) 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, 6453456 + ... + 6454308.

It is an arithmetic number, because the mean of its divisors is an integer number (132890940).

Almost surely, 25505161346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505161346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6378765120).

5505161346 is an abundant number, since it is smaller than the sum of its proper divisors (7252368894).

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

5505161346 is a wasteful number, since it uses less digits than its factorization.

5505161346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 5505161346 is about 74196.7744986263. The cubic root of 5505161346 is about 1765.7261571306.

The spelling of 5505161346 in words is "five billion, five hundred five million, one hundred sixty-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 113 114 167 171 226 334 339 342 501 678 853 1002 1017 1503 1706 2034 2147 2559 3006 3173 4294 5118 6346 6441 7677 9519 12882 15354 16207 18871 19038 19323 28557 32414 37742 38646 48621 56613 57114 96389 97242 113226 142451 145863 169839 192778 284902 289167 291726 339678 358549 427353 578334 717098 854706 867501 1075647 1282059 1735002 1831391 2151294 2564118 2706569 3226941 3662782 5413138 5494173 6453882 8119707 10988346 16096963 16239414 16482519 24359121 32193926 32965038 48290889 48718242 96581778 144872667 289745334 305842297 611684594 917526891 1835053782 2752580673 5505161346