Search a number
-
+
124628684832 = 2533634322741
BaseRepresentation
bin111010000010001110…
…0101101000000100000
3102220200120212011102000
41310010130231000200
54020214420403312
6133130441124000
712001262225241
oct1640434550040
9386616764360
10124628684832
1148944709593
12201a1a89600
13b9a2138b32
146063d8ccc8
153396512adc
hex1d0472d020

124628684832 has 96 divisors (see below), whose sum is σ = 363573624960. Its totient is φ = 41534519040.

The previous prime is 124628684813. The next prime is 124628684857. The reversal of 124628684832 is 238486826421.

124628684832 is a `hidden beast` number, since 1 + 2 + 4 + 628 + 6 + 8 + 4 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5468982 + ... + 5491722.

It is an arithmetic number, because the mean of its divisors is an integer number (3787225260).

Almost surely, 2124628684832 is an apocalyptic number.

124628684832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

124628684832 is an abundant number, since it is smaller than the sum of its proper divisors (238944940128).

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

124628684832 is a wasteful number, since it uses less digits than its factorization.

124628684832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29103 (or 29089 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 124628684832 in words is "one hundred twenty-four billion, six hundred twenty-eight million, six hundred eighty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 6343 12686 19029 22741 25372 38058 45482 50744 57087 68223 76116 90964 101488 114174 136446 152232 171261 181928 202976 204669 228348 272892 304464 342522 363856 409338 456696 545784 608928 614007 685044 727712 818676 913392 1091568 1228014 1370088 1637352 1826784 2183136 2456028 2740176 3274704 4912056 5480352 6549408 9824112 19648224 144246163 288492326 432738489 576984652 865476978 1153969304 1298215467 1730953956 2307938608 2596430934 3461907912 3894646401 4615877216 5192861868 6923815824 7789292802 10385723736 13847631648 15578585604 20771447472 31157171208 41542894944 62314342416 124628684832