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20001072156 = 223133110738653
BaseRepresentation
bin10010101000001010…
…000010010000011100
31220121220112201222020
4102220022002100130
5311430233302111
613104404220140
71305434210502
oct225012022034
956556481866
1020001072156
1185340a15aa
123a6239a650
131b69991950
14d7a4c4672
157c0dcd906
hex4a828241c

20001072156 has 96 divisors (see below), whose sum is σ = 52366583808. Its totient is φ = 5899841280.

The previous prime is 20001072109. The next prime is 20001072163. The reversal of 20001072156 is 65127010002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498126 + ... + 536778.

It is an arithmetic number, because the mean of its divisors is an integer number (545485248).

Almost surely, 220001072156 is an apocalyptic number.

20001072156 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001072156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26183291904).

20001072156 is an abundant number, since it is smaller than the sum of its proper divisors (32365511652).

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

20001072156 is a wasteful number, since it uses less digits than its factorization.

20001072156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38811 (or 38809 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 20001072156 its reverse (65127010002), we get a palindrome (85128082158).

The spelling of 20001072156 in words is "twenty billion, one million, seventy-two thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 107 124 156 186 214 321 372 403 428 642 806 1209 1284 1391 1612 2418 2782 3317 4173 4836 5564 6634 8346 9951 13268 16692 19902 38653 39804 43121 77306 86242 115959 129363 154612 172484 231918 258726 463836 502489 517452 1004978 1198243 1507467 2009956 2396486 3014934 3594729 4135871 4792972 6029868 7189458 8271742 12407613 14378916 15577159 16543484 24815226 31154318 46731477 49630452 53766323 62308636 93462954 107532646 128212001 161298969 186925908 215065292 256424002 322597938 384636003 512848004 645195876 769272006 1538544012 1666756013 3333512026 5000268039 6667024052 10000536078 20001072156