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3748746144 = 2531113273073
BaseRepresentation
bin1101111101110001…
…0101001110100000
3100200020221000221210
43133130111032200
530134134334034
61415552350120
7161616550023
oct33734251640
910606830853
103748746144
111654084510
12887545340
134798603b0
14277c2d1ba
1516e1948e9
hexdf7153a0

3748746144 has 96 divisors (see below), whose sum is σ = 11560860864. Its totient is φ = 1048596480.

The previous prime is 3748746139. The next prime is 3748746181. The reversal of 3748746144 is 4416478473.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3748746093 and 3748746102.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 122809 + ... + 150264.

It is an arithmetic number, because the mean of its divisors is an integer number (120425634).

Almost surely, 23748746144 is an apocalyptic number.

It is an amenable number.

3748746144 is an abundant number, since it is smaller than the sum of its proper divisors (7812114720).

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

3748746144 is a wasteful number, since it uses less digits than its factorization.

3748746144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273110 (or 273102 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 48.

The square root of 3748746144 is about 61227.0050222939. The cubic root of 3748746144 is about 1553.4430771357.

The spelling of 3748746144 in words is "three billion, seven hundred forty-eight million, seven hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 273073 546146 819219 1092292 1638438 2184584 3003803 3276876 3549949 4369168 6007606 6553752 7099898 8738336 9011409 10649847 12015212 13107504 14199796 18022818 21299694 24030424 26215008 28399592 36045636 39049439 42599388 48060848 56799184 72091272 78098878 85198776 96121696 113598368 117148317 144182544 156197756 170397552 234296634 288365088 312395512 340795104 468593268 624791024 937186536 1249582048 1874373072 3748746144