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20788920396 = 223229111717827
BaseRepresentation
bin10011010111000111…
…011100000001001100
31222122211000120120200
4103113013130001030
5320033430423041
613314510413500
71334111623236
oct232707340114
958584016520
1020788920396
1188a8892652
124042201290
131c63c7b73a
141012da9256
1581a1551b6
hex4d71dc04c

20788920396 has 72 divisors (see below), whose sum is σ = 54413551920. Its totient is φ = 6684322176.

The previous prime is 20788920391. The next prime is 20788920413. The reversal of 20788920396 is 69302988702.

It is a happy number.

It is a super-2 number, since 2×207889203962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20788920391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1157235 + ... + 1175061.

Almost surely, 220788920396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20788920396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27206775960).

20788920396 is an abundant number, since it is smaller than the sum of its proper divisors (33624631524).

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

20788920396 is a wasteful number, since it uses less digits than its factorization.

20788920396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18983 (or 18978 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 20788920396 in words is "twenty billion, seven hundred eighty-eight million, nine hundred twenty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 1117 2234 3351 4468 6702 10053 13404 17827 20106 32393 35654 40212 53481 64786 71308 97179 106962 129572 160443 194358 213924 291537 320886 388716 516983 583074 641772 1033966 1166148 1550949 2067932 3101898 4652847 6203796 9305694 18611388 19912759 39825518 59738277 79651036 119476554 179214831 238953108 358429662 577470011 716859324 1154940022 1732410033 2309880044 3464820066 5197230099 6929640132 10394460198 20788920396