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1378750464 = 21233713137
BaseRepresentation
bin101001000101110…
…0001000000000000
310120002100210002000
41102023201000000
510310430003324
6344451224000
746111120440
oct12213410000
93502323060
101378750464
116482a56a3
123258a8000
1318c84b6a0
14d1180120
15810989c9
hex522e1000

1378750464 has 416 divisors, whose sum is σ = 5064003840. Its totient is φ = 360972288.

The previous prime is 1378750453. The next prime is 1378750493. The reversal of 1378750464 is 4640578731.

1378750464 is a `hidden beast` number, since 1 + 3 + 7 + 87 + 504 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10063804 + ... + 10063940.

Almost surely, 21378750464 is an apocalyptic number.

1378750464 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 1378750464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532001920).

1378750464 is an abundant number, since it is smaller than the sum of its proper divisors (3685253376).

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

1378750464 is a wasteful number, since it uses less digits than its factorization.

1378750464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 1378750464 is about 37131.5292440266. The cubic root of 1378750464 is about 1113.0001525708. Note that the first 3 decimals are identical.

The spelling of 1378750464 in words is "one billion, three hundred seventy-eight million, seven hundred fifty thousand, four hundred sixty-four".