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1378149696 = 2632721123193
BaseRepresentation
bin101001000100100…
…1110010101000000
310120001020020222100
41102021032111000
510310301242241
6344430310400
746103036100
oct12211162500
93501206870
101378149696
11647a252a0
12325658400
1318c69b0c1
14d1065200
1580eca9b6
hex5224e540

1378149696 has 504 divisors, whose sum is σ = 5257946304. Its totient is φ = 340623360.

The previous prime is 1378149691. The next prime is 1378149701. The reversal of 1378149696 is 6969418731.

It is an interprime number because it is at equal distance from previous prime (1378149691) and next prime (1378149701).

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378149691) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 7140576 + ... + 7140768.

Almost surely, 21378149696 is an apocalyptic number.

1378149696 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 1378149696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628973152).

1378149696 is an abundant number, since it is smaller than the sum of its proper divisors (3879796608).

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

1378149696 is a wasteful number, since it uses less digits than its factorization.

1378149696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 239 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 1378149696 is about 37123.4386338335. The cubic root of 1378149696 is about 1112.8384718715.

The spelling of 1378149696 in words is "one billion, three hundred seventy-eight million, one hundred forty-nine thousand, six hundred ninety-six".