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64187378248 = 237231133131409
BaseRepresentation
bin111011110001110111…
…011010101001001000
320010200022212122211111
4323301313122221020
52022423432100443
645253130140104
74431423466360
oct736167325110
9203608778744
1064187378248
1125249113344
1210534281634
13608c136bb6
14316ca619a0
151a0a18c69d
hexef1ddaa48

64187378248 has 128 divisors (see below), whose sum is σ = 145360396800. Its totient is φ = 25978208256.

The previous prime is 64187378243. The next prime is 64187378249. The reversal of 64187378248 is 84287378146.

It is a junction number, because it is equal to n+sod(n) for n = 64187378192 and 64187378201.

It is not an unprimeable number, because it can be changed into a prime (64187378243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45554568 + ... + 45555976.

It is an arithmetic number, because the mean of its divisors is an integer number (1135628100).

Almost surely, 264187378248 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 64187378248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72680198400).

64187378248 is an abundant number, since it is smaller than the sum of its proper divisors (81173018552).

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

64187378248 is a wasteful number, since it uses less digits than its factorization.

64187378248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1867 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 58.

The spelling of 64187378248 in words is "sixty-four billion, one hundred eighty-seven million, three hundred seventy-eight thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 113 161 184 226 313 322 452 626 644 791 904 1252 1288 1409 1582 2191 2504 2599 2818 3164 4382 5198 5636 6328 7199 8764 9863 10396 11272 14398 17528 18193 19726 20792 28796 32407 35369 36386 39452 50393 57592 64814 70738 72772 78904 100786 129628 141476 145544 159217 201572 226849 247583 259256 282952 318434 403144 441017 453698 495166 636868 813487 882034 907396 990332 1114519 1273736 1626974 1764068 1814792 1980664 2229038 3087119 3253948 3528136 3661991 4458076 5694409 6174238 6507896 7323982 8916152 10143391 11388818 12348476 14647964 20286782 22777636 24696952 25633937 29295928 40573564 45555272 49834921 51267874 71003737 81147128 99669842 102535748 142007474 199339684 205071496 284014948 348844447 398679368 568029896 697688894 1146203183 1395377788 2292406366 2790755576 4584812732 8023422281 9169625464 16046844562 32093689124 64187378248