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124161612064 = 2571135419067
BaseRepresentation
bin111001110100010011…
…0111101100100100000
3102212111000222102000121
41303220212331210200
54013240333041224
6133012234130024
711653561201120
oct1635046754440
9385430872017
10124161612064
1148724aa1936
1220091580914
13b929442209
14601bd28c80
15336a500be4
hex1ce89bd920

124161612064 has 96 divisors (see below), whose sum is σ = 282387966336. Its totient is φ = 52637921280.

The previous prime is 124161612061. The next prime is 124161612109. The reversal of 124161612064 is 460216161421.

124161612064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1241616120642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (124161612061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13689259 + ... + 13698325.

It is an arithmetic number, because the mean of its divisors is an integer number (2941541316).

Almost surely, 2124161612064 is an apocalyptic number.

124161612064 is a gapful number since it is divisible by the number (14) 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 124161612064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141193983168).

124161612064 is an abundant number, since it is smaller than the sum of its proper divisors (158226354272).

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

124161612064 is a wasteful number, since it uses less digits than its factorization.

124161612064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9738 (or 9730 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

Adding to 124161612064 its reverse (460216161421), we get a palindrome (584377773485).

The spelling of 124161612064 in words is "one hundred twenty-four billion, one hundred sixty-one million, six hundred twelve thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 113 224 226 452 541 791 904 1082 1582 1808 2164 3164 3616 3787 4328 6328 7574 8656 9067 12656 15148 17312 18134 25312 30296 36268 60592 61133 63469 72536 121184 122266 126938 145072 244532 253876 290144 427931 489064 507752 855862 978128 1015504 1024571 1711724 1956256 2031008 2049142 3423448 4098284 4905247 6846896 7171997 8196568 9810494 13693792 14343994 16393136 19620988 28687988 32786272 34336729 39241976 57375976 68673458 78483952 114751952 137346916 156967904 229503904 274693832 549387664 554292911 1098775328 1108585822 2217171644 3880050377 4434343288 7760100754 8868686576 15520201508 17737373152 31040403016 62080806032 124161612064