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7057008036 = 22341323592
BaseRepresentation
bin1101001001010000…
…10110010110100100
3200012211000011010000
412210220112112210
5103423043224121
63124132101300
7336610402311
oct64450262644
920184004100
107057008036
112aa1551651
12144b464830
13886076100
144ad359d08
152b482a526
hex1a4a165a4

7057008036 has 135 divisors (see below), whose sum is σ = 20032484241. Its totient is φ = 2165338656.

The previous prime is 7057008017. The next prime is 7057008043. The reversal of 7057008036 is 6308007507.

The square root of 7057008036 is 84006.

It is a perfect power (a square), and thus also a powerful number.

7057008036 is a `hidden beast` number, since 7 + 0 + 570 + 0 + 80 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1043936100 + 6013071936 = 32310^2 + 77544^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19657225 + ... + 19657583.

Almost surely, 27057008036 is an apocalyptic number.

7057008036 is the 84006-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7057008036

7057008036 is an abundant number, since it is smaller than the sum of its proper divisors (12975476205).

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

7057008036 is a wasteful number, since it uses less digits than its factorization.

7057008036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The cubic root of 7057008036 is about 1918.1101228052.

Multiplying 7057008036 by its sum of digits (36), we get a square (254052289296 = 5040362).

7057008036 divided by its sum of digits (36) gives a square (196028001 = 140012).

The spelling of 7057008036 in words is "seven billion, fifty-seven million, eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 359 468 507 676 702 718 1014 1053 1077 1404 1436 1521 2028 2106 2154 3042 3231 4212 4308 4563 4667 6084 6462 9126 9334 9693 12924 13689 14001 18252 18668 19386 27378 28002 29079 38772 42003 54756 56004 58158 60671 84006 116316 121342 126009 128881 168012 182013 242684 252018 257762 364026 378027 386643 504036 515524 546039 728052 756054 773286 1092078 1159929 1512108 1546572 1638117 1675453 2184156 2319858 3276234 3350906 3479787 4639716 4914351 5026359 6552468 6701812 6959574 9828702 10052718 10439361 13919148 15079077 19657404 20105436 20878722 21780889 30158154 41757444 43561778 45237231 60316308 65342667 87123556 90474462 130685334 135711693 180948924 196028001 261370668 271423386 392056002 542846772 588084003 784112004 1176168006 1764252009 2352336012 3528504018 7057008036