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1381685472 = 253317194951
BaseRepresentation
bin101001001011010…
…1101100011100000
310120021212220011000
41102112231203200
510312202413342
6345034152000
746145063346
oct12226554340
93507786130
101381685472
11649a1a822
12326882600
1319033858b
14d1705996
158147844c
hex525ad8e0

1381685472 has 192 divisors, whose sum is σ = 4492454400. Its totient is φ = 410572800.

The previous prime is 1381685447. The next prime is 1381685497. The reversal of 1381685472 is 2745861831.

1381685472 is a `hidden beast` number, since 13 + 8 + 168 + 5 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (1381685447) and next prime (1381685497).

It is a congruent number.

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, 276597 + ... + 281547.

It is an arithmetic number, because the mean of its divisors is an integer number (23398200).

Almost surely, 21381685472 is an apocalyptic number.

1381685472 is a gapful number since it is divisible by the number (12) 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 1381685472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246227200).

1381685472 is an abundant number, since it is smaller than the sum of its proper divisors (3110768928).

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

1381685472 is a wasteful number, since it uses less digits than its factorization.

1381685472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006 (or 4992 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1381685472 is about 37171.0300099419. The cubic root of 1381685472 is about 1113.7893572914.

The spelling of 1381685472 in words is "one billion, three hundred eighty-one million, six hundred eighty-five thousand, four hundred seventy-two".