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155113315400 = 235210146116657
BaseRepresentation
bin1001000001110101111…
…0010101110001001000
3112211101010001211221102
42100131132111301020
510020133002043100
6155131424400532
714130565266221
oct2203536256110
9484333054842
10155113315400
115a86847174a
122608b176148
131181ca34484
14771690c248
15407c96acd5
hex241d795c48

155113315400 has 96 divisors (see below), whose sum is σ = 365021090280. Its totient is φ = 61294080000.

The previous prime is 155113315381. The next prime is 155113315417. The reversal of 155113315400 is 4513311551.

It can be written as a sum of positive squares in 12 ways, for example, as 81952803076 + 73160512324 = 286274^2 + 270482^2 .

It is a super-2 number, since 2×1551133154002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9303872 + ... + 9320528.

Almost surely, 2155113315400 is an apocalyptic number.

155113315400 is a gapful number since it is divisible by the number (10) 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 155113315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182510545140).

155113315400 is an abundant number, since it is smaller than the sum of its proper divisors (209907774880).

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

155113315400 is a wasteful number, since it uses less digits than its factorization.

155113315400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17235 (or 17226 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

Adding to 155113315400 its reverse (4513311551), we get a palindrome (159626626951).

The spelling of 155113315400 in words is "one hundred fifty-five billion, one hundred thirteen million, three hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 461 505 808 922 1010 1844 2020 2305 2525 3688 4040 4610 5050 9220 10100 11525 16657 18440 20200 23050 33314 46100 46561 66628 83285 92200 93122 133256 166570 186244 232805 333140 372488 416425 465610 666280 832850 931220 1164025 1665700 1682357 1862440 2328050 3331400 3364714 4656100 6729428 7678877 8411785 9312200 13458856 15357754 16823570 30715508 33647140 38394385 42058925 61431016 67294280 76788770 84117850 153577540 168235700 191971925 307155080 336471400 383943850 767887700 775566577 1535775400 1551133154 3102266308 3877832885 6204532616 7755665770 15511331540 19389164425 31022663080 38778328850 77556657700 155113315400