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3663740142 = 2321713191397
BaseRepresentation
bin1101101001100000…
…0011110011101110
3100110022222021122100
43122120003303232
530000404141032
61403314355530
7156535164066
oct33230036356
910408867570
103663740142
1116100a4217
12862b8bba6
1346506959a
1426a8223a6
151669a297c
hexda603cee

3663740142 has 48 divisors (see below), whose sum is σ = 8469304272. Its totient is φ = 1140622080.

The previous prime is 3663740141. The next prime is 3663740147. The reversal of 3663740142 is 2410473663.

It is a happy number.

3663740142 is a `hidden beast` number, since 3 + 6 + 637 + 4 + 0 + 14 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3663740097 and 3663740106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663740141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5613 + ... + 85784.

It is an arithmetic number, because the mean of its divisors is an integer number (176443839).

Almost surely, 23663740142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3663740142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234652136).

3663740142 is an abundant number, since it is smaller than the sum of its proper divisors (4805564130).

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

3663740142 is a wasteful number, since it uses less digits than its factorization.

3663740142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91553 (or 91550 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3663740142 is about 60528.8372761281. The cubic root of 3663740142 is about 1541.6113092188.

The spelling of 3663740142 in words is "three billion, six hundred sixty-three million, seven hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 131 153 262 306 393 786 1179 2227 2358 4454 6681 13362 20043 40086 91397 182794 274191 548382 822573 1553749 1645146 3107498 4661247 9322494 11973007 13983741 23946014 27967482 35919021 71838042 107757063 203541119 215514126 407082238 610623357 1221246714 1831870071 3663740142