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6148944672 = 253132537151
BaseRepresentation
bin1011011101000000…
…10111001100100000
3120212112022202100120
411232200113030200
5100043112212142
62454053120240
7305243111253
oct55640271440
916775282316
106148944672
112675a12162
121237329080
1376cbb8500
1442490109a
1525ec597ec
hex16e817320

6148944672 has 144 divisors (see below), whose sum is σ = 17810368128. Its totient is φ = 1856025600.

The previous prime is 6148944667. The next prime is 6148944677. The reversal of 6148944672 is 2764498416.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6148944667) and next prime (6148944677).

It is not an unprimeable number, because it can be changed into a prime (6148944677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856297 + ... + 863447.

It is an arithmetic number, because the mean of its divisors is an integer number (123683112).

Almost surely, 26148944672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6148944672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905184064).

6148944672 is an abundant number, since it is smaller than the sum of its proper divisors (11661423456).

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

6148944672 is a wasteful number, since it uses less digits than its factorization.

6148944672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7243 (or 7222 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 6148944672 is about 78415.2068925409. The cubic root of 6148944672 is about 1832.0339963054.

The spelling of 6148944672 in words is "six billion, one hundred forty-eight million, nine hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 78 96 104 106 156 159 169 208 212 312 318 338 416 424 507 624 636 676 689 848 1014 1248 1272 1352 1378 1696 2028 2067 2544 2704 2756 4056 4134 5088 5408 5512 7151 8112 8268 8957 11024 14302 16224 16536 17914 21453 22048 26871 28604 33072 35828 42906 53742 57208 66144 71656 85812 92963 107484 114416 143312 171624 185926 214968 228832 278889 286624 343248 371852 379003 429936 557778 686496 743704 758006 859872 1115556 1137009 1208519 1487408 1516012 2231112 2274018 2417038 2974816 3032024 3625557 4462224 4548036 4834076 4927039 6064048 7251114 8924448 9096072 9668152 9854078 12128096 14502228 14781117 18192144 19336304 19708156 29004456 29562234 36384288 38672608 39416312 58008912 59124468 64051507 78832624 116017824 118248936 128103014 157665248 192154521 236497872 256206028 384309042 472995744 512412056 768618084 1024824112 1537236168 2049648224 3074472336 6148944672