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54972588801 = 31383149293389
BaseRepresentation
bin110011001100100111…
…110010001100000001
312020220010121212002110
4303030213302030001
51400040440320201
641130513205533
73654162203124
oct631447621401
9166803555073
1054972588801
112134a658679
12a7a22608a9
135251021a70
142936cd83bb
15166b1d46d6
hexccc9f2301

54972588801 has 64 divisors (see below), whose sum is σ = 80904096000. Its totient is φ = 32999046144.

The previous prime is 54972588779. The next prime is 54972588851. The reversal of 54972588801 is 10888527945.

It is a de Polignac number, because none of the positive numbers 2k-54972588801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54972588851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141317515 + ... + 141317903.

It is an arithmetic number, because the mean of its divisors is an integer number (1264126500).

Almost surely, 254972588801 is an apocalyptic number.

It is an amenable number.

54972588801 is a deficient number, since it is larger than the sum of its proper divisors (25931507199).

54972588801 is a wasteful number, since it uses less digits than its factorization.

54972588801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930.

The product of its (nonzero) digits is 6451200, while the sum is 57.

The spelling of 54972588801 in words is "fifty-four billion, nine hundred seventy-two million, five hundred eighty-eight thousand, eight hundred one".

Divisors: 1 3 13 39 83 149 249 293 389 447 879 1079 1167 1937 3237 3809 5057 5811 11427 12367 15171 24319 32287 37101 43657 57961 72957 96861 113977 130971 160771 173883 316147 341931 419731 482313 567541 753493 948441 1259193 1481701 1702623 2260479 3623531 4445103 4810763 9460091 10870593 14432289 16982573 28380273 47105903 50947719 62539919 122981183 141317709 187619757 220773449 368943549 662320347 1409553559 4228660677 18324196267 54972588801