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1950938112 = 21032961359
BaseRepresentation
bin111010001001000…
…1111010000000000
312000222000220222010
41310102033100000
512443420004422
6521331212520
766226462134
oct16422172000
95028026863
101950938112
11911287752
12465447140
13251259c66
141471673c4
15b6420b0c
hex7448f400

1950938112 has 176 divisors, whose sum is σ = 5482684800. Its totient is φ = 615874560.

The previous prime is 1950938111. The next prime is 1950938113. The reversal of 1950938112 is 2118390591.

It is an interprime number because it is at equal distance from previous prime (1950938111) and next prime (1950938113).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1950938111) 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 15 ways as a sum of consecutive naturals, for example, 5434189 + ... + 5434547.

Almost surely, 21950938112 is an apocalyptic number.

1950938112 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 1950938112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741342400).

1950938112 is an abundant number, since it is smaller than the sum of its proper divisors (3531746688).

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

1950938112 is a wasteful number, since it uses less digits than its factorization.

1950938112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 1950938112 is about 44169.4250811577. The cubic root of 1950938112 is about 1249.5332896602.

The spelling of 1950938112 in words is "one billion, nine hundred fifty million, nine hundred thirty-eight thousand, one hundred twelve".