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5161581096 = 2337312813527
BaseRepresentation
bin1001100111010011…
…10111101000101000
3111022201102111011020
410303221313220220
541032331043341
62212102332440
7241623500250
oct46351675050
914281374136
105161581096
11220963a301
12100072a120
13643483bc9
1436d722960
15203222566
hex133a77a28

5161581096 has 128 divisors (see below), whose sum is σ = 15281602560. Its totient is φ = 1421683200.

The previous prime is 5161581091. The next prime is 5161581101. The reversal of 5161581096 is 6901851615.

It is an interprime number because it is at equal distance from previous prime (5161581091) and next prime (5161581101).

It is a super-2 number, since 2×51615810962 = 53283838821169122432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5161581091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1461685 + ... + 1465211.

It is an arithmetic number, because the mean of its divisors is an integer number (119387520).

Almost surely, 25161581096 is an apocalyptic number.

5161581096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5161581096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640801280).

5161581096 is an abundant number, since it is smaller than the sum of its proper divisors (10120021464).

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

5161581096 is a wasteful number, since it uses less digits than its factorization.

5161581096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The square root of 5161581096 is about 71844.1444795608. The cubic root of 5161581096 is about 1728.2009984599.

The spelling of 5161581096 in words is "five billion, one hundred sixty-one million, five hundred eighty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 281 372 434 562 651 744 843 868 1124 1302 1686 1736 1967 2248 2604 3372 3527 3934 5208 5901 6744 7054 7868 8711 10581 11802 14108 15736 17422 21162 23604 24689 26133 28216 34844 42324 47208 49378 52266 60977 69688 74067 84648 98756 104532 109337 121954 148134 182931 197512 209064 218674 243908 296268 328011 365862 437348 487816 592536 656022 731724 765359 874696 991087 1312044 1463448 1530718 1982174 2296077 2624088 2973261 3061436 3964348 4592154 5946522 6122872 6937609 7928696 9184308 11893044 13875218 18368616 20812827 23786088 27750436 30723697 41625654 55500872 61447394 83251308 92171091 122894788 166502616 184342182 215065879 245789576 368684364 430131758 645197637 737368728 860263516 1290395274 1720527032 2580790548 5161581096