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20155334004 = 22341337312829
BaseRepresentation
bin10010110001010110…
…011111110101110100
31221000122211001110000
4102301112133311310
5312234231142004
613131554431300
71312316340501
oct226126376564
957018731400
1020155334004
118603184833
123aa5b92530
131b92923650
14d92b9c4a8
157ce700c39
hex4b159fd74

20155334004 has 120 divisors (see below), whose sum is σ = 56899664360. Its totient is φ = 6184532736.

The previous prime is 20155333997. The next prime is 20155334039. The reversal of 20155334004 is 40043355102.

20155334004 is a `hidden beast` number, since 201 + 5 + 53 + 3 + 400 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2652044004 + 17503290000 = 51498^2 + 132300^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1564662 + ... + 1577490.

Almost surely, 220155334004 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 20155334004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28449832180).

20155334004 is an abundant number, since it is smaller than the sum of its proper divisors (36744330356).

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

20155334004 is a wasteful number, since it uses less digits than its factorization.

20155334004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13231 (or 13220 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 20155334004 its reverse (40043355102), we get a palindrome (60198689106).

The spelling of 20155334004 in words is "twenty billion, one hundred fifty-five million, three hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 373 468 702 746 1053 1119 1404 1492 2106 2238 3357 4212 4476 4849 6714 9698 10071 12829 13428 14547 19396 20142 25658 29094 30213 38487 40284 43641 51316 58188 60426 76974 87282 115461 120852 130923 153948 166777 174564 230922 261846 333554 346383 392769 461844 500331 523692 667108 692766 785538 1000662 1039149 1385532 1500993 1571076 2001324 2078298 3001986 4156596 4502979 4785217 6003972 9005958 9570434 13508937 14355651 18011916 19140868 27017874 28711302 43066953 54035748 57422604 62207821 86133906 124415642 129200859 172267812 186623463 248831284 258401718 373246926 387602577 516803436 559870389 746493852 775205154 1119740778 1550410308 1679611167 2239481556 3359222334 5038833501 6718444668 10077667002 20155334004