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52142809104 = 243463432
BaseRepresentation
bin110000100011111101…
…000010000000010000
311222120220220011010000
4300203331002000100
51323242024342404
635542025210000
73524101364421
oct604375020020
9158526804100
1052142809104
1120128290271
12a132630900
134bbc998bc9
142749161648
151552a66339
hexc23f42010

52142809104 has 75 divisors (see below), whose sum is σ = 150940213743. Its totient is φ = 17378196192.

The previous prime is 52142809099. The next prime is 52142809171. The reversal of 52142809104 is 40190824125.

The square root of 52142809104 is 228348.

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

52142809104 is a `hidden beast` number, since 521 + 4 + 28 + 0 + 9 + 104 = 666.

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 14 ways as a sum of consecutive naturals, for example, 8217357 + ... + 8223699.

Almost surely, 252142809104 is an apocalyptic number.

52142809104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

52142809104 is the 228348-th square number.

It is an amenable number.

52142809104 is an abundant number, since it is smaller than the sum of its proper divisors (98797404639).

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

52142809104 is an frugal number, since it uses more digits than its factorization.

52142809104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12706 (or 6348 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 52142809104 by its sum of digits (36), we get a square (1877141127744 = 13700882).

52142809104 divided by its sum of digits (36) gives a square (1448411364 = 380582).

The spelling of 52142809104 in words is "fifty-two billion, one hundred forty-two million, eight hundred nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 6343 12686 19029 25372 38058 50744 57087 76116 101488 114174 152232 171261 228348 304464 342522 456696 513783 685044 913392 1027566 1370088 2055132 2740176 4110264 8220528 40233649 80467298 120700947 160934596 241401894 321869192 362102841 482803788 643738384 724205682 965607576 1086308523 1448411364 1931215152 2172617046 2896822728 3258925569 4345234092 5793645456 6517851138 8690468184 13035702276 17380936368 26071404552 52142809104