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141672664 = 23719472833
BaseRepresentation
bin10000111000111…
…00000011011000
3100212120201100201
420130130003120
5242232011124
622020311544
73340124560
oct1034340330
9325521321
10141672664
1172a74851
123b5425b4
13234747a3
1414b5bda0
15c687144
hex871c0d8

141672664 has 64 divisors (see below), whose sum is σ = 326476800. Its totient is φ = 56277504.

The previous prime is 141672653. The next prime is 141672731. The reversal of 141672664 is 466276141.

It is a super-2 number, since 2×1416726642 = 40142287449713792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48592 + ... + 51424.

It is an arithmetic number, because the mean of its divisors is an integer number (5101200).

Almost surely, 2141672664 is an apocalyptic number.

141672664 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 141672664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163238400).

141672664 is an abundant number, since it is smaller than the sum of its proper divisors (184804136).

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

141672664 is a wasteful number, since it uses less digits than its factorization.

141672664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2908 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 141672664 is about 11902.6326499645. The cubic root of 141672664 is about 521.3091569095.

The spelling of 141672664 in words is "one hundred forty-one million, six hundred seventy-two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 47 56 76 94 133 152 188 266 329 376 532 658 893 1064 1316 1786 2632 2833 3572 5666 6251 7144 11332 12502 19831 22664 25004 39662 50008 53827 79324 107654 133151 158648 215308 266302 376789 430616 532604 753578 932057 1065208 1507156 1864114 2529869 3014312 3728228 5059738 7456456 10119476 17709083 20238952 35418166 70836332 141672664