Search a number
-
+
64629034848 = 2532771944587
BaseRepresentation
bin111100001100001100…
…001100111101100000
320011211002221010210100
4330030030030331200
52024330013103343
645405024302400
74445365506060
oct741414147540
9204732833710
1064629034848
11254554504a4
1210638171a00
13612c7a2071
1431b158b3a0
151a33d2d9d3
hexf0c30cf60

64629034848 has 144 divisors (see below), whose sum is σ = 210341214720. Its totient is φ = 18439342848.

The previous prime is 64629034819. The next prime is 64629034849. The reversal of 64629034848 is 84843092646.

64629034848 is a `hidden beast` number, since 6 + 4 + 6 + 290 + 348 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 64629034794 and 64629034803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64629034849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1427211 + ... + 1471797.

It is an arithmetic number, because the mean of its divisors is an integer number (1460702880).

Almost surely, 264629034848 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 64629034848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105170607360).

64629034848 is an abundant number, since it is smaller than the sum of its proper divisors (145712179872).

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

64629034848 is a wasteful number, since it uses less digits than its factorization.

64629034848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45329 (or 45318 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 64629034848 in words is "sixty-four billion, six hundred twenty-nine million, thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 719 1008 1438 2016 2157 2876 4314 5033 5752 6471 8628 10066 11504 12942 15099 17256 20132 23008 25884 30198 34512 40264 44587 45297 51768 60396 69024 80528 89174 90594 103536 120792 133761 161056 178348 181188 207072 241584 267522 312109 356696 362376 401283 483168 535044 624218 713392 724752 802566 936327 1070088 1248436 1426784 1449504 1605132 1872654 2140176 2496872 2808981 3210264 3745308 4280352 4993744 5617962 6420528 7490616 9987488 11235924 12841056 14981232 22471848 29962464 32058053 44943696 64116106 89887392 96174159 128232212 192348318 224406371 256464424 288522477 384696636 448812742 512928848 577044954 673219113 769393272 897625484 1025857696 1154089908 1346438226 1538786544 1795250968 2019657339 2308179816 2692876452 3077573088 3590501936 4039314678 4616359632 5385752904 7181003872 8078629356 9232719264 10771505808 16157258712 21543011616 32314517424 64629034848