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20119493940 = 223571321372069
BaseRepresentation
bin10010101111001101…
…110001110100110100
31220221011101012010020
4102233031301310310
5312201042301230
613124234325140
71311402606510
oct225715616464
956834335106
1020119493940
118594a25647
123a95b897b0
131b88385400
14d8c10d140
157cb4c1810
hex4af371d34

20119493940 has 288 divisors, whose sum is σ = 70258648320. Its totient is φ = 4211970048.

The previous prime is 20119493921. The next prime is 20119493963. The reversal of 20119493940 is 4939491102.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20119493892 and 20119493901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9723226 + ... + 9725294.

It is an arithmetic number, because the mean of its divisors is an integer number (243953640).

Almost surely, 220119493940 is an apocalyptic number.

20119493940 is a gapful number since it is divisible by the number (20) 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 20119493940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35129324160).

20119493940 is an abundant number, since it is smaller than the sum of its proper divisors (50139154380).

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

20119493940 is a wasteful number, since it uses less digits than its factorization.

20119493940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 20119493940 in words is "twenty billion, one hundred nineteen million, four hundred ninety-three thousand, nine hundred forty".