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20038277952 = 26327211194379
BaseRepresentation
bin10010101010010111…
…111101101101000000
31220201111112222201200
4102222113331231000
5312014244343302
613112213501200
71306365360300
oct225227755500
956644488650
1020038277952
1185530a38a0
123a72941800
131b745ba704
14d8140b600
157c42cc81c
hex4aa5fdb40

20038277952 has 1008 divisors, whose sum is σ = 79501593600. Its totient is φ = 4755179520.

The previous prime is 20038277887. The next prime is 20038277977. The reversal of 20038277952 is 25977283002.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 20038277898 and 20038277907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 253649049 + ... + 253649127.

Almost surely, 220038277952 is an apocalyptic number.

20038277952 is a gapful number since it is divisible by the number (22) 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 20038277952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39750796800).

20038277952 is an abundant number, since it is smaller than the sum of its proper divisors (59463315648).

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

20038277952 is a wasteful number, since it uses less digits than its factorization.

20038277952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 20038277952 in words is "twenty billion, thirty-eight million, two hundred seventy-seven thousand, nine hundred fifty-two".