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54205415304 = 233311033312137
BaseRepresentation
bin110010011110111001…
…001111111110001000
312011220200001101220020
4302132321033332020
51342003041242204
640522430100440
73626155266525
oct623671177610
9164820041806
1054205415304
1120a965a8897
12a60934a720
13515b0c3551
1428a307614c
151623b93bd9
hexc9ee4ff88

54205415304 has 128 divisors (see below), whose sum is σ = 141736058880. Its totient is φ = 17255462400.

The previous prime is 54205415293. The next prime is 54205415353. The reversal of 54205415304 is 40351450245.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25364124 + ... + 25366260.

It is an arithmetic number, because the mean of its divisors is an integer number (1107312960).

Almost surely, 254205415304 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 54205415304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70868029440).

54205415304 is an abundant number, since it is smaller than the sum of its proper divisors (87530643576).

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

54205415304 is a wasteful number, since it uses less digits than its factorization.

54205415304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 54205415304 its reverse (40351450245), we get a palindrome (94556865549).

The spelling of 54205415304 in words is "fifty-four billion, two hundred five million, four hundred fifteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 103 124 186 206 248 309 331 372 412 618 662 744 824 993 1236 1324 1986 2137 2472 2648 3193 3972 4274 6386 6411 7944 8548 9579 10261 12772 12822 17096 19158 20522 25544 25644 30783 34093 38316 41044 51288 61566 66247 68186 76632 82088 102279 123132 132494 136372 198741 204558 220111 246264 264988 272744 397482 409116 440222 529976 660333 707347 794964 818232 880444 1056883 1320666 1414694 1589928 1760888 2113766 2122041 2641332 2829388 3170649 4227532 4244082 5282664 5658776 6341298 6823441 8455064 8488164 12682596 13646882 16976328 20470323 21927757 25365192 27293764 40940646 43855514 54587528 65783271 72856741 81881292 87711028 131566542 145713482 163762584 175422056 218570223 263133084 291426964 437140446 526266168 582853928 874280892 1748561784 2258558971 4517117942 6775676913 9034235884 13551353826 18068471768 27102707652 54205415304