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53432541440 = 28586348371
BaseRepresentation
bin110001110000110100…
…111110000100000000
312002220210202100021022
4301300310332010000
51333412212311230
640314020445012
73601052052125
oct616064760400
9162823670238
1053432541440
112072a305263
12a432549768
135066c4a535
14282c56c74c
1515cadc91e5
hexc70d3e100

53432541440 has 72 divisors (see below), whose sum is σ = 128138588928. Its totient is φ = 21347809280.

The previous prime is 53432541431. The next prime is 53432541451. The reversal of 53432541440 is 4414523435.

It is a self number, because there is not a number n which added to its sum of digits gives 53432541440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1080455 + ... + 1128825.

It is an arithmetic number, because the mean of its divisors is an integer number (1779702624).

Almost surely, 253432541440 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 53432541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64069294464).

53432541440 is an abundant number, since it is smaller than the sum of its proper divisors (74706047488).

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

53432541440 is an equidigital number, since it uses as much as digits as its factorization.

53432541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49255 (or 49241 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 53432541440 in words is "fifty-three billion, four hundred thirty-two million, five hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 863 1280 1726 3452 4315 6904 8630 13808 17260 27616 34520 48371 55232 69040 96742 110464 138080 193484 220928 241855 276160 386968 483710 552320 773936 967420 1104640 1547872 1934840 3095744 3869680 6191488 7739360 12382976 15478720 30957440 41744173 61914880 83488346 166976692 208720865 333953384 417441730 667906768 834883460 1335813536 1669766920 2671627072 3339533840 5343254144 6679067680 10686508288 13358135360 26716270720 53432541440