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20344041613701 = 32135920831414849
BaseRepresentation
bin1001010000000101101110…
…10111111010100110000101
32200000212112020110022121200
410220002313113322212011
510131304044123114301
6111133531303533113
74166544213340341
oct450026727724605
980025466408550
1020344041613701
116533950139593
12234698a45a199
13b475865c67a0
1450492a634621
152542ddc71c86
hex1280b75fa985

20344041613701 has 48 divisors (see below), whose sum is σ = 32198137608000. Its totient is φ = 12301299726336.

The previous prime is 20344041613667. The next prime is 20344041613739. The reversal of 20344041613701 is 10731614044302.

20344041613701 is a `hidden beast` number, since 2 + 0 + 34 + 4 + 0 + 4 + 1 + 613 + 7 + 0 + 1 = 666.

It is not a de Polignac number, because 20344041613701 - 210 = 20344041612677 is a prime.

It is a super-4 number, since 4×203440416137014 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20344041613771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13671525 + ... + 15086373.

It is an arithmetic number, because the mean of its divisors is an integer number (670794533500).

Almost surely, 220344041613701 is an apocalyptic number.

It is an amenable number.

20344041613701 is a deficient number, since it is larger than the sum of its proper divisors (11854095994299).

20344041613701 is a wasteful number, since it uses less digits than its factorization.

20344041613701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417010 (or 1417007 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 20344041613701 in words is "twenty trillion, three hundred forty-four billion, forty-one million, six hundred thirteen thousand, seven hundred one".

Divisors: 1 3 9 13 39 59 117 177 531 767 2083 2301 6249 6903 18747 27079 81237 122897 243711 368691 1106073 1414849 1597661 4244547 4792983 12733641 14378949 18393037 55179111 83476091 165537333 250428273 751284819 1085189183 2947130467 3255567549 8841391401 9766702647 26524174203 38312696071 114938088213 173880697553 344814264639 521642092659 1564926277977 2260449068189 6781347204567 20344041613701