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54887223116304 = 243217179125258387
BaseRepresentation
bin11000111101011011011010…
…11011111100001000010000
321012100011111221200002212200
430132231231123330020100
524143233013104210204
6312422501525523200
714363320361453055
oct1436555533741020
9235304457602780
1054887223116304
11165415a45a6737
1261a5617b73500
132481ac5bc4aa7
14d7a7ad08302c
15652b215b8539
hex31eb6d6fc210

54887223116304 has 120 divisors (see below), whose sum is σ = 163552382379360. Its totient is φ = 17123322399744.

The previous prime is 54887223116303. The next prime is 54887223116309. The reversal of 54887223116304 is 40361132278845.

54887223116304 is a `hidden beast` number, since 5 + 488 + 72 + 2 + 31 + 1 + 63 + 0 + 4 = 666.

54887223116304 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×548872231163042 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54887223116303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62191002 + ... + 63067385.

It is an arithmetic number, because the mean of its divisors is an integer number (1362936519828).

Almost surely, 254887223116304 is an apocalyptic number.

It is an amenable number.

54887223116304 is an abundant number, since it is smaller than the sum of its proper divisors (108665159263056).

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

54887223116304 is a wasteful number, since it uses less digits than its factorization.

54887223116304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125258597 (or 125258588 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

It can be divided in two parts, 5488722 and 3116304, that added together give a triangular number (8605026 = T4148).

The spelling of 54887223116304 in words is "fifty-four trillion, eight hundred eighty-seven billion, two hundred twenty-three million, one hundred sixteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 179 204 272 306 358 408 537 612 716 816 1074 1224 1432 1611 2148 2448 2864 3043 3222 4296 6086 6444 8592 9129 12172 12888 18258 24344 25776 27387 36516 48688 54774 73032 109548 146064 219096 438192 125258387 250516774 375775161 501033548 751550322 1002067096 1127325483 1503100644 2004134192 2129392579 2254650966 3006201288 4258785158 4509301932 6012402576 6388177737 8517570316 9018603864 12776355474 17035140632 18037207728 19164533211 22421251273 25552710948 34070281264 38329066422 44842502546 51105421896 67263753819 76658132844 89685005092 102210843792 134527507638 153316265688 179370010184 201791261457 269055015276 306632531376 358740020368 381161271641 403582522914 538110030552 762322543282 807165045828 1076220061104 1143483814923 1524645086564 1614330091656 2286967629846 3049290173128 3228660183312 3430451444769 4573935259692 6098580346256 6860902889538 9147870519384 13721805779076 18295741038768 27443611558152 54887223116304