Search a number
-
+
155629246383264 = 2537732097203083
BaseRepresentation
bin100011011000101101000001…
…111100101000010010100000
3202102001000021202200011220010
4203120231001330220102200
5130344312144033231024
61310555031102244520
744531561543421213
oct4330550174502240
9672030252604803
10155629246383264
1145651aa13789a5
1215555ba7886740
1368aba0c78c9b4
142a606d235b77a
1512ed419383b29
hex8d8b41f284a0

155629246383264 has 48 divisors (see below), whose sum is σ = 409055267128032. Its totient is φ = 51809304937728.

The previous prime is 155629246383253. The next prime is 155629246383271. The reversal of 155629246383264 is 462383642926551.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1556292463832643 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 155629246383195 and 155629246383204.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1048527334 + ... + 1048675749.

It is an arithmetic number, because the mean of its divisors is an integer number (8521984731834).

Almost surely, 2155629246383264 is an apocalyptic number.

It is an amenable number.

155629246383264 is an abundant number, since it is smaller than the sum of its proper divisors (253426020744768).

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

155629246383264 is a wasteful number, since it uses less digits than its factorization.

155629246383264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097203869 (or 2097203861 counting only the distinct ones).

The product of its digits is 447897600, while the sum is 66.

The spelling of 155629246383264 in words is "one hundred fifty-five trillion, six hundred twenty-nine billion, two hundred forty-six million, three hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 773 1546 2319 3092 4638 6184 9276 12368 18552 24736 37104 74208 2097203083 4194406166 6291609249 8388812332 12583218498 16777624664 25166436996 33555249328 50332873992 67110498656 100665747984 201331495968 1621137983159 3242275966318 4863413949477 6484551932636 9726827898954 12969103865272 19453655797908 25938207730544 38907311595816 51876415461088 77814623191632 155629246383264