Search a number
-
+
53796129444 = 223271179307383
BaseRepresentation
bin110010000110011111…
…111100101010100100
312010212010220112020200
4302012133330222210
51340133302120234
640414045430500
73613055361351
oct620637745244
9163763815220
1053796129444
11208a6570312
12a51426b430
1350c4380475
142864975628
1515ecc98d99
hexc867fcaa4

53796129444 has 144 divisors (see below), whose sum is σ = 139485265920. Its totient is φ = 17477691840.

The previous prime is 53796129437. The next prime is 53796129449. The reversal of 53796129444 is 44492169735.

53796129444 is a `hidden beast` number, since 5 + 3 + 79 + 6 + 129 + 444 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (6531840) is a multiple of the sum of its prime divisors (945).

It is not an unprimeable number, because it can be changed into a prime (53796129449) 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 47 ways as a sum of consecutive naturals, for example, 140459677 + ... + 140460059.

It is an arithmetic number, because the mean of its divisors is an integer number (968647680).

Almost surely, 253796129444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53796129444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69742632960).

53796129444 is an abundant number, since it is smaller than the sum of its proper divisors (85689136476).

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

53796129444 is a wasteful number, since it uses less digits than its factorization.

53796129444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 945 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 53796129444 in words is "fifty-three billion, seven hundred ninety-six million, one hundred twenty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 179 213 284 307 358 383 426 537 614 639 716 766 852 921 1074 1149 1228 1278 1532 1611 1842 2148 2298 2556 2763 3222 3447 3684 4596 5526 6444 6894 11052 12709 13788 21797 25418 27193 38127 43594 50836 54386 54953 65391 68557 76254 81579 87188 108772 109906 114381 117581 130782 137114 152508 163158 164859 196173 205671 219812 228762 235162 244737 261564 274228 326316 329718 352743 392346 411342 457524 470324 489474 494577 617013 659436 705486 784692 822684 978948 989154 1058229 1234026 1410972 1978308 2116458 2468052 3901663 4232916 4867547 7803326 8348251 9735094 11704989 14602641 15606652 16696502 19470188 21046999 23409978 25044753 29205282 33393004 35114967 42093998 43807923 46819956 50089506 58410564 63140997 70229934 75134259 84187996 87615846 100179012 126281994 140459868 150268518 175231692 189422991 252563988 300537036 378845982 757691964 1494336929 2988673858 4483010787 5977347716 8966021574 13449032361 17932043148 26898064722 53796129444