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2725445016 = 233377922817
BaseRepresentation
bin1010001001110010…
…1111110110011000
321000221101221201000
42202130233312120
521040203220031
61130235425000
7124352620560
oct24234576630
97027357630
102725445016
1111794961a8
126408b5160
13345855378
141bbd77da0
1510e40e3e6
hexa272fd98

2725445016 has 128 divisors (see below), whose sum is σ = 8762112000. Its totient is φ = 768807936.

The previous prime is 2725444951. The next prime is 2725445059. The reversal of 2725445016 is 6105445272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108040 + ... + 130856.

It is an arithmetic number, because the mean of its divisors is an integer number (68454000).

Almost surely, 22725445016 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 2725445016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381056000).

2725445016 is an abundant number, since it is smaller than the sum of its proper divisors (6036666984).

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

2725445016 is a wasteful number, since it uses less digits than its factorization.

2725445016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22918 (or 22908 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2725445016 is about 52205.7948507635. The cubic root of 2725445016 is about 1396.8372508694.

The spelling of 2725445016 in words is "two billion, seven hundred twenty-five million, four hundred forty-five thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 79 84 108 126 158 168 189 216 237 252 316 378 474 504 553 632 711 756 948 1106 1422 1512 1659 1896 2133 2212 2844 3318 4266 4424 4977 5688 6636 8532 9954 13272 14931 17064 19908 22817 29862 39816 45634 59724 68451 91268 119448 136902 159719 182536 205353 273804 319438 410706 479157 547608 616059 638876 821412 958314 1232118 1277752 1437471 1642824 1802543 1916628 2464236 2874942 3605086 3833256 4312413 4928472 5407629 5749884 7210172 8624826 10815258 11499768 12617801 14420344 16222887 17249652 21630516 25235602 32445774 34499304 37853403 43261032 48668661 50471204 64891548 75706806 97337322 100942408 113560209 129783096 151413612 194674644 227120418 302827224 340680627 389349288 454240836 681361254 908481672 1362722508 2725445016