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1381036608 = 263372931127
BaseRepresentation
bin101001001010000…
…1111001001000000
310120020122221002000
41102110033021000
510312021132413
6345012224000
746136421540
oct12224171100
93506587060
101381036608
11649617276
1232660b000
1319016c133
14d15b7320
158139b073
hex5250f240

1381036608 has 448 divisors, whose sum is σ = 4993843200. Its totient is φ = 365783040.

The previous prime is 1381036597. The next prime is 1381036621. The reversal of 1381036608 is 8066301831.

1381036608 is a `hidden beast` number, since 1 + 3 + 8 + 10 + 36 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×13810366082 = 3814524225272291328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10874241 + ... + 10874367.

Almost surely, 21381036608 is an apocalyptic number.

1381036608 is a gapful number since it is divisible by the number (18) 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 1381036608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496921600).

1381036608 is an abundant number, since it is smaller than the sum of its proper divisors (3612806592).

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

1381036608 is a wasteful number, since it uses less digits than its factorization.

1381036608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1381036608 is about 37162.3008975494. The cubic root of 1381036608 is about 1113.6149782468.

The spelling of 1381036608 in words is "one billion, three hundred eighty-one million, thirty-six thousand, six hundred eight".