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61820488128 = 263745997387
BaseRepresentation
bin111001100100110010…
…011100100111000000
312220120101011011222110
4321210302130213000
52003102021110003
644222215335320
74315653323160
oct714462344700
9186511134873
1061820488128
1124244065803
12bb93681540
135aa29718b9
142dc65805a0
15191c4a6a03
hexe64c9c9c0

61820488128 has 56 divisors (see below), whose sum is σ = 186933384832. Its totient is φ = 17662996224.

The previous prime is 61820488127. The next prime is 61820488133. The reversal of 61820488128 is 82188402816.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61820488127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22997350 + ... + 23000037.

Almost surely, 261820488128 is an apocalyptic number.

It is an amenable number.

61820488128 is an abundant number, since it is smaller than the sum of its proper divisors (125112896704).

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

61820488128 is a wasteful number, since it uses less digits than its factorization.

61820488128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45997409 (or 45997399 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The spelling of 61820488128 in words is "sixty-one billion, eight hundred twenty million, four hundred eighty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 45997387 91994774 137992161 183989548 275984322 321981709 367979096 551968644 643963418 735958192 965945127 1103937288 1287926836 1471916384 1931890254 2207874576 2575853672 2943832768 3863780508 4415749152 5151707344 7727561016 8831498304 10303414688 15455122032 20606829376 30910244064 61820488128