Search a number
-
+
15415148412 = 223217233135327
BaseRepresentation
bin11100101101101000…
…00111111101111100
31110210022022200020200
432112310013331330
5223032234222122
611025344043500
71054000412436
oct162664077574
943708280220
1015415148412
1165a04a4184
122ba2603590
1315b88626c1
14a6340d656
156034bb5ac
hex396d07f7c

15415148412 has 144 divisors (see below), whose sum is σ = 44442058752. Its totient is φ = 4476510720.

The previous prime is 15415148377. The next prime is 15415148417. The reversal of 15415148412 is 21484151451.

15415148412 is a `hidden beast` number, since 1 + 54 + 1 + 514 + 84 + 12 = 666.

It is a super-2 number, since 2×154151484122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15415148417) 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, 418693 + ... + 454019.

It is an arithmetic number, because the mean of its divisors is an integer number (308625408).

Almost surely, 215415148412 is an apocalyptic number.

15415148412 is a gapful number since it is divisible by the number (12) 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 15415148412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22221029376).

15415148412 is an abundant number, since it is smaller than the sum of its proper divisors (29026910340).

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

15415148412 is a wasteful number, since it uses less digits than its factorization.

15415148412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35408 (or 35403 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

Adding to 15415148412 its reverse (21484151451), we get a palindrome (36899299863).

The spelling of 15415148412 in words is "fifteen billion, four hundred fifteen million, one hundred forty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 23 31 34 36 46 51 62 68 69 92 93 102 124 138 153 186 204 207 276 279 306 372 391 414 527 558 612 713 782 828 1054 1116 1173 1426 1564 1581 2108 2139 2346 2852 3162 3519 4278 4692 4743 6324 6417 7038 8556 9486 12121 12834 14076 18972 24242 25668 35327 36363 48484 70654 72726 105981 109089 141308 145452 211962 218178 317943 423924 436356 600559 635886 812521 1095137 1201118 1271772 1625042 1801677 2190274 2402236 2437563 3250084 3285411 3603354 4380548 4875126 5405031 6570822 7206708 7312689 9750252 9856233 10810062 13141644 13812857 14625378 18617329 19712466 21620124 25188151 27625714 29250756 37234658 39424932 41438571 50376302 55251428 55851987 74469316 75564453 82877142 100752604 111703974 124315713 151128906 165754284 167555961 223407948 226693359 248631426 302257812 335111922 428198567 453386718 497262852 670223844 856397134 906773436 1284595701 1712794268 2569191402 3853787103 5138382804 7707574206 15415148412