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38498327712 = 25321310282673
BaseRepresentation
bin100011110110101011…
…011101110010100000
310200101000101200101100
4203312223131302200
51112321032441322
625404052434400
72532011246325
oct436653356240
9120330350340
1038498327712
1115366336469
127565018a00
133826c26090
141c12d90b4c
151004c5bdac
hex8f6addca0

38498327712 has 72 divisors (see below), whose sum is σ = 117901140084. Its totient is φ = 11845638144.

The previous prime is 38498327701. The next prime is 38498327713. The reversal of 38498327712 is 21772389483.

It can be written as a sum of positive squares in 2 ways, for example, as 30121685136 + 8376642576 = 173556^2 + 91524^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (38498327713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5137593 + ... + 5145080.

Almost surely, 238498327712 is an apocalyptic number.

38498327712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38498327712 is an abundant number, since it is smaller than the sum of its proper divisors (79402812372).

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

38498327712 is a wasteful number, since it uses less digits than its factorization.

38498327712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10282702 (or 10282691 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 38498327712 in words is "thirty-eight billion, four hundred ninety-eight million, three hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 10282673 20565346 30848019 41130692 61696038 82261384 92544057 123392076 133674749 164522768 185088114 246784152 267349498 329045536 370176228 401024247 493568304 534698996 740352456 802048494 987136608 1069397992 1203072741 1480704912 1604096988 2138795984 2406145482 2961409824 3208193976 4277591968 4812290964 6416387952 9624581928 12832775904 19249163856 38498327712