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2055151504 = 24779359647
BaseRepresentation
bin111101001111111…
…0001111110010000
312022020010111212101
41322133301332100
513202104322004
6535533010144
7101633333230
oct17237617620
95266114771
102055151504
1196509681a
12494323954
13269a174a3
14156d33cc0
15c0658ba4
hex7a7f1f90

2055151504 has 80 divisors (see below), whose sum is σ = 4628275200. Its totient is φ = 865867392.

The previous prime is 2055151489. The next prime is 2055151507. The reversal of 2055151504 is 4051515502.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2055151507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3176109 + ... + 3176755.

It is an arithmetic number, because the mean of its divisors is an integer number (57853440).

Almost surely, 22055151504 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 2055151504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314137600).

2055151504 is an abundant number, since it is smaller than the sum of its proper divisors (2573123696).

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

2055151504 is a wasteful number, since it uses less digits than its factorization.

2055151504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 28.

The square root of 2055151504 is about 45333.7788409482. The cubic root of 2055151504 is about 1271.3972890579.

The spelling of 2055151504 in words is "two billion, fifty-five million, one hundred fifty-one thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 359 553 632 647 718 1106 1264 1294 1436 2212 2513 2588 2872 4424 4529 5026 5176 5744 8848 9058 10052 10352 18116 20104 28361 36232 40208 51113 56722 72464 102226 113444 198527 204452 226888 232273 357791 397054 408904 453776 464546 715582 794108 817808 929092 1431164 1588216 1625911 1858184 2862328 3176432 3251822 3716368 5724656 6503644 13007288 18349567 26014576 36699134 73398268 128446969 146796536 256893938 293593072 513787876 1027575752 2055151504