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20438196971094 = 232719157211257713
BaseRepresentation
bin1001010010110101000110…
…11110000110011001010110
32200100212120002101001110200
410221122203132012121112
510134324411411033334
6111245102244001330
74206416400562440
oct451324336063126
980325502331420
1020438196971094
11656a877405141
122361086990246
13b53410293a06
145092dd367490
1525699ed10799
hex1296a3786656

20438196971094 has 192 divisors, whose sum is σ = 53866102018560. Its totient is φ = 5470834037760.

The previous prime is 20438196971039. The next prime is 20438196971107. The reversal of 20438196971094 is 49017969183402.

20438196971094 is a `hidden beast` number, since 2 + 0 + 438 + 1 + 9 + 6 + 97 + 109 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79177182 + ... + 79434894.

It is an arithmetic number, because the mean of its divisors is an integer number (280552614680).

Almost surely, 220438196971094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20438196971094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26933051009280).

20438196971094 is an abundant number, since it is smaller than the sum of its proper divisors (33427905047466).

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

20438196971094 is a wasteful number, since it uses less digits than its factorization.

20438196971094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258115 (or 258112 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 20438196971094 in words is "twenty trillion, four hundred thirty-eight billion, one hundred ninety-six million, nine hundred seventy-one thousand, ninety-four".