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20344992138072 = 23337171515241793
BaseRepresentation
bin1001010000000111100000…
…00001111000001101011000
32200000221222111000221221000
410220003300001320031120
510131313020441404242
6111134205500545000
74166606604556410
oct450036001701530
980027874027830
1020344992138072
11653429873a618
122346bb4852160
13b476a8500144
145049ba983640
1525434742da4c
hex1280f0078358

20344992138072 has 256 divisors, whose sum is σ = 68839432243200. Its totient is φ = 5434689945600.

The previous prime is 20344992138059. The next prime is 20344992138109. The reversal of 20344992138072 is 27083129944302.

It is a happy number.

20344992138072 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 499 + 2 + 1 + 3 + 80 + 72 = 666.

It is a super-2 number, since 2×203449921380722 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1260408 + ... + 6502200.

It is an arithmetic number, because the mean of its divisors is an integer number (268904032200).

Almost surely, 220344992138072 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 20344992138072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34419716121600).

20344992138072 is an abundant number, since it is smaller than the sum of its proper divisors (48494440105128).

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

20344992138072 is a wasteful number, since it uses less digits than its factorization.

20344992138072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241983 (or 5241973 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 20344992138072 in words is "twenty trillion, three hundred forty-four billion, nine hundred ninety-two million, one hundred thirty-eight thousand, seventy-two".