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1375746642 = 2321919121061
BaseRepresentation
bin101001000000000…
…0011101001010010
310112212201011121100
41102000003221102
510304142343032
6344303005230
746043440104
oct12200035122
93485634540
101375746642
116466338a6
12324899816
1318c03938a
14d09db574
1580ba397c
hex52003a52

1375746642 has 48 divisors (see below), whose sum is σ = 3154245120. Its totient is φ = 432151200.

The previous prime is 1375746629. The next prime is 1375746643. The reversal of 1375746642 is 2466475731.

1375746642 is a `hidden beast` number, since 1 + 37 + 574 + 6 + 6 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (1375746643) 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, 54792 + ... + 75852.

It is an arithmetic number, because the mean of its divisors is an integer number (65713440).

Almost surely, 21375746642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1375746642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577122560).

1375746642 is an abundant number, since it is smaller than the sum of its proper divisors (1778498478).

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

1375746642 is a wasteful number, since it uses less digits than its factorization.

1375746642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21279 (or 21276 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 1375746642 is about 37091.0587877995. The cubic root of 1375746642 is about 1112.1912836450.

The spelling of 1375746642 in words is "one billion, three hundred seventy-five million, seven hundred forty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 191 342 382 573 1146 1719 3438 3629 7258 10887 21061 21774 32661 42122 63183 65322 126366 189549 379098 400159 800318 1200477 2400954 3601431 4022651 7202862 8045302 12067953 24135906 36203859 72407718 76430369 152860738 229291107 458582214 687873321 1375746642