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19431377920 = 21054877793
BaseRepresentation
bin10010000110001100…
…110100110000000000
31212011012120021101201
4102012030310300000
5304243413043140
612532053510544
71255345662403
oct220614646000
955135507351
1019431377920
118271562919
123923642454
131aa8947276
14d24989d3a
1578ad9a49a
hex486334c00

19431377920 has 88 divisors (see below), whose sum is σ = 46714243104. Its totient is φ = 7755595776.

The previous prime is 19431377869. The next prime is 19431377923. The reversal of 19431377920 is 2977313491.

It is not an unprimeable number, because it can be changed into a prime (19431377923) 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 7 ways as a sum of consecutive naturals, for example, 2489544 + ... + 2497336.

Almost surely, 219431377920 is an apocalyptic number.

19431377920 is a gapful number since it is divisible by the number (10) 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 19431377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23357121552).

19431377920 is an abundant number, since it is smaller than the sum of its proper divisors (27282865184).

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

19431377920 is an equidigital number, since it uses as much as digits as its factorization.

19431377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8305 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The spelling of 19431377920 in words is "nineteen billion, four hundred thirty-one million, three hundred seventy-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 487 512 640 974 1024 1280 1948 2435 2560 3896 4870 5120 7792 7793 9740 15584 15586 19480 31168 31172 38960 38965 62336 62344 77920 77930 124672 124688 155840 155860 249344 249376 311680 311720 498688 498752 623360 623440 997504 1246720 1246880 1995008 2493440 2493760 3795191 3990016 4987520 7590382 7980032 9975040 15180764 18975955 19950080 30361528 37951910 39900160 60723056 75903820 121446112 151807640 242892224 303615280 485784448 607230560 971568896 1214461120 1943137792 2428922240 3886275584 4857844480 9715688960 19431377920