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1900401937920 = 29345312931009
BaseRepresentation
bin11011101001111000110…
…010000100111000000000
320201200021021112001220000
4123221320302010320000
5222114010344003140
64013011012520000
7254204505642153
oct33517062047000
96650237461800
101900401937920
11672a57394692
12268388920000
1310a2900c4325
1467da0d79c9a
15346791daa30
hex1ba78c84e00

1900401937920 has 800 divisors, whose sum is σ = 7057175811840. Its totient is φ = 488268103680.

The previous prime is 1900401937919. The next prime is 1900401937921. The reversal of 1900401937920 is 297391040091.

1900401937920 is a `hidden beast` number, since 1 + 90 + 0 + 401 + 93 + 79 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1900401937919) and next prime (1900401937921).

It is a super-2 number, since 2×19004019379202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1900401937921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1883450376 + ... + 1883451384.

Almost surely, 21900401937920 is an apocalyptic number.

1900401937920 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 1900401937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528587905920).

1900401937920 is an abundant number, since it is smaller than the sum of its proper divisors (5156773873920).

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

1900401937920 is a wasteful number, since it uses less digits than its factorization.

1900401937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 1900401937920 in words is "one trillion, nine hundred billion, four hundred one million, nine hundred thirty-seven thousand, nine hundred twenty".