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1378031616 = 211361371
BaseRepresentation
bin101001000100011…
…0001100000000000
310120001000021000000
41102020301200000
510310234002431
6344424000000
746102034613
oct12210614000
93501007000
101378031616
11647954605
12325600000
1318c659430
14d103417a
1580ea59e6
hex52231800

1378031616 has 336 divisors, whose sum is σ = 4511641680. Its totient is φ = 418037760.

The previous prime is 1378031573. The next prime is 1378031617. The reversal of 1378031616 is 6161308731.

1378031616 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 0 + 31 + 616 = 666.

It is a super-2 number, since 2×13780316162 = 3797942269391142912, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378031617) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 19408861 + ... + 19408931.

It is an arithmetic number, because the mean of its divisors is an integer number (13427505).

Almost surely, 21378031616 is an apocalyptic number.

1378031616 is a gapful number since it is divisible by the number (16) 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 1378031616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255820840).

1378031616 is an abundant number, since it is smaller than the sum of its proper divisors (3133610064).

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

1378031616 is an frugal number, since it uses more digits than its factorization.

1378031616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1378031616 is about 37121.8482298498. The cubic root of 1378031616 is about 1112.8066882609.

The spelling of 1378031616 in words is "one billion, three hundred seventy-eight million, thirty-one thousand, six hundred sixteen".