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63144644136 = 2337375860977
BaseRepresentation
bin111010110011101101…
…101100111000101000
320000222122210021112120
4322303231230320220
52013310012103021
645001440511240
74363532422260
oct726355547050
9200878707476
1063144644136
1124863561812
12102a301b520
135c540b6872
1430b038c7a0
1519988692c6
hexeb3b6ce28

63144644136 has 32 divisors (see below), whose sum is σ = 180413269440. Its totient is φ = 18041326848.

The previous prime is 63144644131. The next prime is 63144644141.

It is a happy number.

63144644136 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (63144644131) and next prime (63144644141).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (63144644131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187930321 + ... + 187930656.

It is an arithmetic number, because the mean of its divisors is an integer number (5637914670).

Almost surely, 263144644136 is an apocalyptic number.

It is an amenable number.

63144644136 is an abundant number, since it is smaller than the sum of its proper divisors (117268625304).

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

63144644136 is a wasteful number, since it uses less digits than its factorization.

63144644136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375860993 (or 375860989 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The spelling of 63144644136 in words is "sixty-three billion, one hundred forty-four million, six hundred forty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 375860977 751721954 1127582931 1503443908 2255165862 2631026839 3006887816 4510331724 5262053678 7893080517 9020663448 10524107356 15786161034 21048214712 31572322068 63144644136