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53884140160 = 275616172237
BaseRepresentation
bin110010001011101111…
…101011101010000000
312011002021111221020211
4302023233223222000
51340323314441120
640430512043504
73615204430354
oct621357535200
9164067457224
1053884140160
1120941213044
12a539833594
135109686b06
142872525464
15160588125a
hexc8bbeba80

53884140160 has 128 divisors (see below), whose sum is σ = 131199348240. Its totient is φ = 21156495360.

The previous prime is 53884140143. The next prime is 53884140197. The reversal of 53884140160 is 6104148835.

53884140160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3647193664 + 50236946496 = 60392^2 + 224136^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24086562 + ... + 24088798.

Almost surely, 253884140160 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 53884140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65599674120).

53884140160 is an abundant number, since it is smaller than the sum of its proper divisors (77315208080).

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

53884140160 is a wasteful number, since it uses less digits than its factorization.

53884140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

Adding to 53884140160 its reverse (6104148835), we get a palindrome (59988288995).

The spelling of 53884140160 in words is "fifty-three billion, eight hundred eighty-four million, one hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 305 320 488 610 617 640 976 1220 1234 1952 2237 2440 2468 3085 3904 4474 4880 4936 6170 7808 8948 9760 9872 11185 12340 17896 19520 19744 22370 24680 35792 37637 39040 39488 44740 49360 71584 75274 78976 89480 98720 136457 143168 150548 178960 188185 197440 272914 286336 301096 357920 376370 394880 545828 602192 682285 715840 752740 1091656 1204384 1364570 1380229 1431680 1505480 2183312 2408768 2729140 2760458 3010960 4366624 4817536 5458280 5520916 6021920 6901145 8733248 10916560 11041832 12043840 13802290 17466496 21833120 22083664 24087680 27604580 43666240 44167328 55209160 84193969 87332480 88334656 110418320 168387938 176669312 220836640 336775876 420969845 441673280 673551752 841939690 883346560 1347103504 1683879380 2694207008 3367758760 5388414016 6735517520 10776828032 13471035040 26942070080 53884140160