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48662146008 = 23337127253417
BaseRepresentation
bin101101010100011111…
…010110101111011000
311122121100102010222000
4231110133112233120
51244130002133013
634204410401000
73341615262540
oct552437265730
9148540363860
1048662146008
11197015705a3
129520a30160
13478683cc48
1424d8b98320
1513ec1c8973
hexb547d6bd8

48662146008 has 128 divisors (see below), whose sum is σ = 155700019200. Its totient is φ = 13793939712.

The previous prime is 48662145991. The next prime is 48662146037. The reversal of 48662146008 is 80064126684.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65316 + ... + 318732.

It is an arithmetic number, because the mean of its divisors is an integer number (1216406400).

Almost surely, 248662146008 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 48662146008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77850009600).

48662146008 is an abundant number, since it is smaller than the sum of its proper divisors (107037873192).

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

48662146008 is a wasteful number, since it uses less digits than its factorization.

48662146008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253566 (or 253556 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 48662146008 in words is "forty-eight billion, six hundred sixty-two million, one hundred forty-six thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 127 168 189 216 252 254 378 381 504 508 756 762 889 1016 1143 1512 1524 1778 2286 2667 3048 3429 3556 4572 5334 6858 7112 8001 9144 10668 13716 16002 21336 24003 27432 32004 48006 64008 96012 192024 253417 506834 760251 1013668 1520502 1773919 2027336 2280753 3041004 3547838 4561506 5321757 6082008 6842259 7095676 9123012 10643514 13684518 14191352 15965271 18246024 21287028 27369036 31930542 32183959 42574056 47895813 54738072 63861084 64367918 95791626 96551877 127722168 128735836 191583252 193103754 225287713 257471672 289655631 383166504 386207508 450575426 579311262 675863139 772415016 868966893 901150852 1158622524 1351726278 1737933786 1802301704 2027589417 2317245048 2703452556 3475867572 4055178834 5406905112 6082768251 6951735144 8110357668 12165536502 16220715336 24331073004 48662146008