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53355973840 = 24513118143441
BaseRepresentation
bin110001101100010000…
…111000110011010000
312002201110200022021021
4301230100320303100
51333233112130330
640302243405224
73566132203021
oct615420706320
9162643608237
1053355973840
11206a0068954
12a410983814
13505411c570
14282231ac48
1515c430267a
hexc6c438cd0

53355973840 has 80 divisors (see below), whose sum is σ = 133711348176. Its totient is φ = 19683532800.

The previous prime is 53355973829. The next prime is 53355973871. The reversal of 53355973840 is 4837955335.

It can be written as a sum of positive squares in 8 ways, for example, as 592046224 + 52763927616 = 24332^2 + 229704^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

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, 1206520 + ... + 1249960.

Almost surely, 253355973840 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 53355973840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66855674088).

53355973840 is an abundant number, since it is smaller than the sum of its proper divisors (80355374336).

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

53355973840 is a wasteful number, since it uses less digits than its factorization.

53355973840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44648 (or 44642 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 52.

The spelling of 53355973840 in words is "fifty-three billion, three hundred fifty-five million, nine hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1181 2362 4724 5905 9448 11810 15353 18896 23620 30706 43441 47240 61412 76765 86882 94480 122824 153530 173764 217205 245648 307060 347528 434410 564733 614120 695056 868820 1129466 1228240 1737640 2258932 2823665 3475280 4517864 5647330 9035728 11294660 22589320 45178640 51303821 102607642 205215284 256519105 410430568 513038210 666949673 820861136 1026076420 1333899346 2052152840 2667798692 3334748365 4104305680 5335597384 6669496730 10671194768 13338993460 26677986920 53355973840