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1375745644 = 22713231011627
BaseRepresentation
bin101001000000000…
…0011011001101100
310112212201010020101
41102000003121230
510304142330034
6344303000444
746043434150
oct12200033154
93485633211
101375745644
11646633079
12324899124
1318c038aa0
14d09db060
1580ba3514
hex5200366c

1375745644 has 96 divisors (see below), whose sum is σ = 3124509696. Its totient is φ = 515116800.

The previous prime is 1375745641. The next prime is 1375745669. The reversal of 1375745644 is 4465475731.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 1375745594 and 1375745603.

It is not an unprimeable number, because it can be changed into a prime (1375745641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 844759 + ... + 846385.

It is an arithmetic number, because the mean of its divisors is an integer number (32546976).

Almost surely, 21375745644 is an apocalyptic number.

1375745644 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 1375745644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562254848).

1375745644 is an abundant number, since it is smaller than the sum of its proper divisors (1748764052).

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

1375745644 is a wasteful number, since it uses less digits than its factorization.

1375745644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1773 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 46.

The square root of 1375745644 is about 37091.0453344200. The cubic root of 1375745644 is about 1112.1910147081.

The spelling of 1375745644 in words is "one billion, three hundred seventy-five million, seven hundred forty-five thousand, six hundred forty-four".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 101 161 182 202 299 322 364 404 598 644 707 1196 1313 1414 1627 2093 2323 2626 2828 3254 4186 4646 5252 6508 8372 9191 9292 11389 16261 18382 21151 22778 30199 32522 36764 37421 42302 45556 60398 65044 74842 84604 120796 148057 149684 164327 211393 261947 296114 328654 422786 486473 523894 592228 657308 845572 972946 1047788 1150289 1945892 2136251 2300578 3405311 3779521 4272502 4601156 6810622 7559042 8545004 13621244 14953757 15118084 26456647 29907514 49133773 52913294 59815028 98267546 105826588 196535092 343936411 687872822 1375745644