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20778411438 = 2381983341
BaseRepresentation
bin10011010110011111…
…010110010110101110
31222122002020200000000
4103112133112112232
5320023233131223
613313453245130
71333623404001
oct232637262656
958562220000
1020778411438
1188a2965064
12403a7937a6
131c61a3c315
141011831538
1581927b543
hex4d67d65ae

20778411438 has 72 divisors (see below), whose sum is σ = 49210117320. Its totient is φ = 6561524880.

The previous prime is 20778411403. The next prime is 20778411461. The reversal of 20778411438 is 83411487702.

20778411438 is a `hidden beast` number, since 207 + 7 + 8 + 4 + 1 + 1 + 438 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20778411393 and 20778411402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 207648 + ... + 290988.

Almost surely, 220778411438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20778411438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24605058660).

20778411438 is an abundant number, since it is smaller than the sum of its proper divisors (28431705882).

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

20778411438 is an frugal number, since it uses more digits than its factorization.

20778411438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83386 (or 83365 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 20778411438 in words is "twenty billion, seven hundred seventy-eight million, four hundred eleven thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 729 1026 1458 1539 2187 3078 4374 4617 6561 9234 13122 13851 27702 41553 83106 83341 124659 166682 249318 250023 500046 750069 1500138 1583479 2250207 3166958 4500414 4750437 6750621 9500874 13501242 14251311 20251863 28502622 40503726 42753933 60755589 85507866 121511178 128261799 182266767 256523598 364533534 384785397 546800301 769570794 1093600602 1154356191 2308712382 3463068573 6926137146 10389205719 20778411438