Search a number
-
+
60129542144 = 2337
BaseRepresentation
bin111000000000000000…
…000000000000000000
312202012112100020011102
4320000000000000000
51441121130322034
643342332433532
74226031450410
oct700000000000
9182175306142
1060129542144
1123556616a91
12b7a13188a8
135893545449
142ca5b74640
15186dce097e
hexe00000000

60129542144 has 68 divisors (see below), whose sum is σ = 137438953464. Its totient is φ = 25769803776.

The previous prime is 60129542141. The next prime is 60129542171. The reversal of 60129542144 is 44124592106.

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 60129542098 and 60129542107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60129542141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8589934589 + ... + 8589934595.

Almost surely, 260129542144 is an apocalyptic number.

60129542144 is a gapful number since it is divisible by the number (64) 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 60129542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68719476732).

60129542144 is an abundant number, since it is smaller than the sum of its proper divisors (77309411320).

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

60129542144 is an frugal number, since it uses more digits than its factorization.

60129542144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 60129542144 in words is "sixty billion, one hundred twenty-nine million, five hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4096 7168 8192 14336 16384 28672 32768 57344 65536 114688 131072 229376 262144 458752 524288 917504 1048576 1835008 2097152 3670016 4194304 7340032 8388608 14680064 16777216 29360128 33554432 58720256 67108864 117440512 134217728 234881024 268435456 469762048 536870912 939524096 1073741824 1879048192 2147483648 3758096384 4294967296 7516192768 8589934592 15032385536 30064771072 60129542144