Search a number
-
+
155154230028 = 223371971041779
BaseRepresentation
bin1001000001111111101…
…0011010101100001100
3112211110222001112021000
42100133322122230030
510020223440330103
6155135445340300
714131603123650
oct2203772325414
9484428045230
10155154230028
115a889577496
12260a0a07690
131182835b405
14771c11ca60
15408134daa3
hex241fe9ab0c

155154230028 has 96 divisors (see below), whose sum is σ = 462050265600. Its totient is φ = 44104713408.

The previous prime is 155154229999. The next prime is 155154230029. The reversal of 155154230028 is 820032451551.

155154230028 is a `hidden beast` number, since 1 + 551 + 54 + 2 + 30 + 0 + 28 = 666.

155154230028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 155154229974 and 155154230001.

It is not an unprimeable number, because it can be changed into a prime (155154230029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371958 + ... + 669821.

It is an arithmetic number, because the mean of its divisors is an integer number (4813023600).

Almost surely, 2155154230028 is an apocalyptic number.

155154230028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

155154230028 is an abundant number, since it is smaller than the sum of its proper divisors (306896035572).

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

155154230028 is a wasteful number, since it uses less digits than its factorization.

155154230028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041996 (or 1041988 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 155154230028 its reverse (820032451551), we get a palindrome (975186681579).

The spelling of 155154230028 in words is "one hundred fifty-five billion, one hundred fifty-four million, two hundred thirty thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 197 252 378 394 591 756 788 1182 1379 1773 2364 2758 3546 4137 5319 5516 7092 8274 10638 12411 16548 21276 24822 37233 49644 74466 148932 1041779 2083558 3125337 4167116 6250674 7292453 9376011 12501348 14584906 18752022 21877359 28128033 29169812 37504044 43754718 56256066 65632077 87509436 112512132 131264154 196896231 205230463 262528308 393792462 410460926 615691389 787584924 820921852 1231382778 1436613241 1847074167 2462765556 2873226482 3694148334 4309839723 5541222501 5746452964 7388296668 8619679446 11082445002 12929519169 17239358892 22164890004 25859038338 38788557507 51718076676 77577115014 155154230028